الاثنين، 14 أبريل 2014

Chapter 9

Questions :

1.How is the geometry of a molecule defined, and why is the study of molecular geometry important?

it is a three dimensional arrangement constitute a molecule .

2.How many atoms are directly bonded to the central atom in a tetrahedral molecule, a trigonal bipyramidal molecule, and an octahedral molecule?

- Tetrahedral : four atoms .
- Trigonal bipyramidal : five atoms .
- Octahedral : six atoms .

3.Explain why the magnitude of repulsion decreases in the following order: lone pair–lone pair > lone pair–bonding pair > bonding pair–bonding pair.

This order is true because lone pairs electrons have more repulsion energy than bond electrons .

4.In the trigonal bipyramidal arrangement, why does a lone pair occupy an equatorial position rather than an axial position?

 Lone pairs are more repulsive than a normal bond, so naturally it wants to be as far away from everything as possible. 

5.Explain why the CH4 molecule is not square planar, although its Lewis structure makes it look as though it could be.

Because there is no lone pair on the central atom , which is C , to make it square planner .
Its shape is Tetrahedral .

6.Predict the geometries of the following species using the VSEPR method: 

$$PCl_3$$

$$Trigonal\; pyramidal $$

$$CHCl_3$$

$$Tetrahedral$$

$$SiH_4$$

$$Tetrahedral$$

$$TeCl_4$$

$$Seesaw$$

7.Predict the geometry of the following molecules and ion using the VSEPR model: 

$$CBr4$$

$$Tetrahedral$$

$$BCl_3$$

$$Trigonal\; planner$$

$$NF_3$$

$$Trigonal\; Pyramidal$$

$$H_2Se$$

$$Bent$$

$$(NO_2)^-$$

$$Bent$$

8.Determine whether (a) BrF5 and (b) BCl3 are polar.

BrF5 is  Polar but BCl3 is nonpolar .



Chapter 8


الأحد، 30 مارس 2014

Chapter 7

Questions :

1. Briefly describe the significance of Mendeleev's periodic table.

Because of two main reasons :
     1- It grouped the elements together more accurately , according to their properties .
     2- It made it possible to predict the properties of several elements that had not yet been discovered .

2. What is Moseley's contribution to the modern periodic table?

It grouped elements according to the increasing of atomic number .

3.Classify each of the following elements as a metal, a nonmetal, or a metalloid: As, Xe, Fe, Li, B, Cl, Ba, P, I, Si.

As : Metalloid
Xe : Nonmetal
Fe : Metal
Li : Metal
B : Metalloid
Cl : Nonmetal
Ba : Metal
P : Nonmetal
I : Nonmetal
Si : Metallloid

4. Compare the physical and chemical properties of metals and nonmetals.

Metals tend to be :

الخميس، 27 مارس 2014

Chapter 6

Questions :

1.What is a wave? Using a diagram, define the following terms associated with waves: wavelength, frequency, amplitude.


A wave can be described as a disturbance that travels through a medium from one location to another location

A wavelength is the distance between two identical points

A frequency is the number of waves that pass through an identical point in one second

Amplitude is the vertical distance from the middle of the wave to the top of a peak or to a bottom of trough .


For more clarity , look at the following diagram :


2.What are the units for wavelength and frequency of electromagnetic waves? What is the speed of light in meters per second and miles per hour?

The units for wavelength is m and for frequency is 1/s 

The speed of light in meters per second is :
$$s=3\times 10^8 \frac{m}{sec}$$


The speed of light in mile per second is :
$$33\times 10^8 \times \frac{3600}{1609}=6.71 mile/hour$$

3.List the types of electromagnetic radiation, starting with the radiation having the longest wavelength and ending with the radiation having the shortest wavelength.

Radio waves - microwaves - infrared waves - optical waves - ultraviolet waves - 

4. Give the high and low wavelength values that define the visible region of the electromagnetic spectrum.

A human =eye will respond to wavelengths from 390 to 750 nm .

5. (a) What is the wavelength (in nm) of light having a frequency of 8.6 × 10^13 Hz?
(b) What is the frequency (in Hz) of light having a wavelength of 566 nm?

a)
$$c=\lambda f$$
$$\lambda=\frac{c}{f}$$
$$c=3\times 10^8 meter/second$$
$$f=8.6 \times 10^13$$
$$\lambda = \frac{3\times 10^8}{8.6 \times 10^{13}}=3.5 \times 10^{-6}m$$

b)
$$c=\lambda f$$
$$f=\frac{c}{wavelength}$$
$$c=3\times 10^8 meter/second$$
$$\lambda =566 \times 10^{-9}$$
$$\lambda = \frac{3\times 10^8}{566 \times 10^{-9}}=3.5 \times 10^{-6}m$$

6.How many minutes would it take a radio wave to travel from the planet Venus to Earth? (The average distance from Venus to Earth = 28 million miles.) How long would it take an infrared wave to travel the same distance?

$$S_{light}=\frac{d}{t}$$
$$t=\frac{d}{S}$$
$$t=\frac{28\times 10^6 \times 1609 m}{3\times 10^{8}}$$
$$t=150 second \times \frac{1 min}{60 sec}=2.5 minute$$

7.The average distance between Mars and Earth is about 1.3 × 10^8 miles. How long would it take video images transmitted from the Mars Spirit rover on Mars' surface to reach Earth (1 mile = 1.61 km)?

$$S_{light}=\frac{d}{t}$$
$$t=\frac{d}{S}$$
$$t=\frac{1.3\times 10^8 \times 1610 m}{3\times 10^{8}}$$
$$t=697second \times \frac{1 min}{60 sec}=11.6 minute$$

8.Four waves represent light in four different regions of the electromagnetic spectrum: visible, microwave, infrared, and ultraviolet. Determine the best match of regions to the waves shown here. Explain your choices.


a) is an infrared wave .
b) is a visible wave .
c) is an ultraviolet wave .
d) is a radio wave .

9.A photon has a wavelength of 705 nm. Calculate the energy of the photon in joules.

$$E=hf$$
$$h=6.63\times 10^{-34}$$
$$f=c/wavelength$$
$$f=\frac{3\times 10^8}{705\times 10^{-9}=4.25\times 10^{14}}$$
$$E=4.25\times 10^{14} \times 6.63\times 10^{-34}=2.81\times{-19}$$

10.

Chapter 5

Questions :

1.Define these terms: system, surroundings, thermal energy, chemical energy, potential energy, kinetic energy, law of conservation of energy.

System : a specific part of the universe that is of interest to us .

Surrounding : the rest of the universe outside the system .

Thermal energy : the energy associated with the random motion of atoms and molecules .

Chemical energy : the energy stored within the structural units of a chemical substance .

Potential energy :the energy possessed by an object virtue to its position .
Kinetic energy : the energy results from motion .

 Law of conservation of energy : energy cannot be destroyed nor created , but it can change into another forms .

2.What is heat? How does heat differ from thermal energy? Under what condition is heat transferred from one system to another?

- Heat is the transfer of thermal energy  between two bodies,whereas thermal energy is the energy associated by the random motion of atoms and molecules .
- Heat is transferred from one system to another when there is a different in temperature . 

3.What are the units for energy commonly employed in chemistry?

The SI unit of energy is Joule , also there is  another unit for energy called cal 

$$1cal\,=\,4,184\,joule$$

4.A truck initially traveling at 60 km/h is brought to a complete stop at a traffic light. Does this change violate the law of conservation of energy? Explain.

No, this doesn't violate the law of conservation of energy because the kinetic energy is converted into heat through the friction.

5.Define these terms: thermochemistry, exothermic process, endothermic process.

Thermochemistry is the study of heat in chemical reaction.

6.Stoichiometry is based on the law of conservation of mass. On what law is thermochemistry based? 

It is based on the law of conservation energy.

7.Describe the interconversions of forms of energy occurring in these processes: (a) You throw a softball up into the air and catch it. (b) You switch on a flashlight. (c) You ride the ski lift to the top of the hill and then ski down. (d) You strike a match and let it burn completely


a) kinetic energy into potential energy into kinetic energy into potential energy again .

b) chemical energy into electrical energy .

c) potential energy into kinetic energy .

d) Thermal energy into chemical energy .

8.Decomposition reactions are usually endothermic, whereas combination reactions are usually exothermic. Give a qualitative explanation for these trends.

Energy is needed to break chemical bonds while energy is released when chemical bonds are formed .

9.On what law is the first law of thermodynamics based? Explain the sign conventions in the equation
$$\Delta U = q+w$$ 
The fist law of thermodynamic is based on the law of conservation of energy .
when the sign of the previous equation is negative that means the energy is released , and if it is positive that means , by contrast , the energy is absorbed .

10.The work done to compress a gas is 47 J. As a result, 93 J of heat is given off to the surroundings. Calculate the change in internal energy of the gas 

$$\Delta U = q+w$$ 
$$q=-93J$$
$$w=47J$$

then
$$\Delta U=-93+47=-46J$$


11.In a gas expansion, 87 J of heat is released to the surroundings and the energy of the system decreases by 128 J. Calculate the work done

$$\Delta U = q+w\,\rightarrow$$ 
$$ w=\Delta U-q $$
$$\Delta U=-128J$$
$$q=-87J$$
$$w=-128-(-87)=-41J$$

12.Calculate w, and determine whether work is done by the system or on the system when 415 J of heat is released and ΔU = 510 J.

$$\Delta U = q+w\,\rightarrow$$ 
$$ w=\Delta U-q $$
$$\Delta U=510J$$
$$q=-415J$$
$$w=510-(-415)=925J$$
$$The\,work\,is\,done\,on\,the\,system$$

13.Calculate q, and determine whether heat is absorbed or released when a system does work on the surroundings equal to 64 J and ΔU = 213 J

$$\Delta U = q+w\,\rightarrow$$ 
$$ q=\Delta U-w $$
$$\Delta U=213J$$
$$w=64J$$
$$q=213-(64)=149J$$
$$The\,heat\,is\,absorbed\,by\,the\,system$$

14.The diagram on the left shows a system before a process. Determine which of the diagrams on the right could represent the system after it undergoes a process in which (a) the system absorbs heat and ΔU is negative; (b) the system absorbs heat and does work on the surroundings; (c) the system releases heat and does work on the surroundings.


a) (ii)
b) (ii)
c) (ii)

15.The diagram , upward , on the left shows a system before a process. Determine which of the diagrams on the right could represent the system after it undergoes a process in which (a) work is done on the system and ΔU is negative; (b) the system releases heat and ΔU is positive; (f) the system absorbs heat and ΔU is positive

a) (iii)
b) (iii)

c) (iii)

16. Consider these changes.

(a) Hg(l) → Hg(g)

(b) 3O2(g) → 2O3(g)

(c) CuSO4 · 5H2O(s) → CuSO4(s) + 5H2O(g)

(d) H2(g) + F2(g) → 2HF(g)

At constant pressure, in which of the reactions is work done by the system on the surroundings? By the surroundings on the system? In which of them is no work done?

a) The work is done by the system .
b) The work is done on the system . " because fewer moles on the right mean that the gas is compressed .
c) The work is done by the system .
d) No work is done . "because the state didn't change "

17.Define these terms: enthalpy and enthalpy of reaction. Under what condition is the heat of a reaction equal to the enthalpy change of the same reaction?

-Enthalpy is the heat exchanged between the system and the surrounding .
-Enthalpy of reaction is the heat exchanged at a constant pressure for a specific reaction .
The enthalpy change is equal to the heat of reaction when the reaction is undergone at a constant volume .

18.In writing thermochemical equations, why is it important to indicate the physical state (i.e., gaseous, liquid, solid, or aqueous) of each substance?

because it helps to determine the actual enthalpy changes .

19.Consider this reaction:
$$2(CH_3OH)_{(l)}\,+3(O_2)_{(g)}\rightarrow 4(H_2O)_{(l)}+2(CO_2)_{(g)}$$
$$\Delta H =1452,8KJ/mole$$
What is the value of ΔH if (a) the equation is multiplied throughout by 2; (b) the direction of the reaction is reversed so that the products become the reactants, and vice versa; (c) water vapor instead of liquid water is formed as the product?

a) ΔH=2905.6 KJ/mole
b) ΔH=-1452.8KJ/mole
c) ΔH will be more than it is when the liquid water is formed because it will need more energy .

20.A sample of nitrogen gas expands in volume from 1.6 to 5.4 L at constant temperature. Calculate the work done in joules if the gas expands (a) against a vacuum, (b) against a constant pressure of 0.80 atm, and (c) against a constant pressure of 3.7 atm. (1 L · atm = 101.3 J.)

a) there is no work done against the vacuum .
b)

$$w=-P \Delta V$$
then : 
P=0.80 atm
and
$$\Delta V= (5.4-1.6=3.8L)$$
the work done is :
$$w=0.80 \times 3.8=-3.04 L.atm$$
converting from l.atm to Joule :
$$-3.04 L.atm\times \frac{101.3 Joule}{1L.atm}=-307.952 joule$$

c)
$$w=-P \Delta V$$
then : 
P=3.7 atm
and
$$\Delta V= (5.4-1.6=3.8L)$$
the work done is :
$$w=-3.7 \times 3.8=-14.06 L.atm$$
converting from L.atm to Joule :$$-14.06 L.atm\times \frac{101.3 Joule}{1L.atm}=-1,424 Kj$$

21.A gas expands in volume from 26.7 to 89.3 mL at constant temperature. Calculate the work done (in joules) if the gas expands (a) against a vacuum, (b) against a constant pressure of 1.5 atm, and (c) against a constant pressure of 2.8 atm. (1 L · atm = 101.3 J.)

a) there is no work since the work is done against the vacuum .

b) 
$$w=-P \Delta V$$
then : 
P=1.5 atm
and
$$\Delta V= (89.3-26.7=62.2 mL)$$
the work done is :
$$w=-1.5 \times 0.0622L=-0.0933 L.atm$$
converting from L.atm to Joule :

$$-0.0933 L.atm\times \frac{101.3 Joule}{1L.atm}=-9.45joule$$

c) 
$$w=-P \Delta V$$
then : 
P=2.8 atm
and
$$\Delta V= (89.3-26.7=62.2 mL)$$
the work done is :
$$w=-2.8 \times 0.0622L=0.174 L.atm$$
converting from l.atm to Joule :

$$-0.174 L.atm\times \frac{101.3 Joule}{1L.atm}=-17.64joule$$

22.A gas expands and does PV work on the surroundings equal to 325 J. At the same time, it absorbs 127 J of heat from the surroundings. Calculate the change in energy of the gas.

$$ \Delta U = q+ P \Delta V$$
$$P \Delta V = -325 J$$
$$q=127 J$$
then :
$$ \Delta U = 127-325=-198J$$


23.The first step in the industrial recovery of zinc from the zinc sulfide ore is roasting, that is, the conversion of ZnS to ZnO by heating:

$$2ZnS+3O_2\rightarrow 2ZnO+2SO_2\; \Delta H=-879Kj/mole$$

To calculate the heat evolved of ZnS first step is to divide the heat of reaction by 2 then divide it by molar mass 65.41+32.07=97.48g/mole

$$\frac{-879KJ}{2mole}\times \frac{1mole}{97.48g}=4.51KJ/g$$

24.consider the following reaction :
$$2H_2O\; \rightarrow 2H+2O \Delta H =483.6KJ/mole$$
at a certain temperature. If the increase in volume is 32.7 L against an external pressure of 1.00 atm, calculate ΔU for this reaction. (1 L · atm = 101.3 J.)

$$\Delta U=q+w$$
$$w=P\Delta V=32.7 \times 1atm=32.7L.atm \times 101.3=3312.51 Joule$$
$$q=483600Joule/mole$$
$$\Delta U = 483600+3312.51=4.81\times10^2Joule$$

25. consider the following reaction :
$$H_2+Cl_2\rightarrow 2HCl \Delta H = -184.6 joule/mole$$

If 3 moles of H2 react with 3 moles of Cl2 to form HCl, calculate the work done (in joules) against a pressure of 1.0 atm. What is ΔU for this reaction? Assume the reaction goes to completion and that ΔV = 0. (1 L · atm = 101.3 J.)

the work done in this reaction is Zero since V is Zero .

$$\Delta U = q$$
$$q=3\Delta H = 3 \times -184.6 = -553.8Joule$$
"q is tripled because there are three moles of reactant are involved"
$$ \Delta U = -553.8 Joule $$


26.The diagrams represent systems before and after reaction for two related chemical processes. ΔH for the first reaction is −595.8 kJ/mol. Determine the value of ΔH for the second reaction.
$$\Delta H = +595.8$$
The change in enthalpy is the same in the magnitude and opposite in sign because the first reaction is combustion and the second one is decomposition .

27. For most biological processes, the changes in internal energy are approximately equal to the changes in enthalpy. Explain.

Because these kind of reaction are taken place in a constant volume so there is no work done .

28.What is the difference between specific heat and heat capacity? What are the units for these two quantities? Which is the intensive property and which is the extensive property?


Main difference 
The difference is that the specific heat is for the heat needed to raise up one gram of a substance one C temperature , but the heat capacity is the heat needed to raise up a sample of substance by one C temperature .
Units :
Heat capacity : 
$$\frac{Joule}{C^o}$$
Specific Heat :

$$\frac{Joule}{g.C^o}$$
Extensive or Intensive :
Heat capacity is Extensive but Specific heat is Intensive .


29.Define calorimetry and describe two commonly used calorimeters . In a calorimetric measurement , why is it important to know the heat capacity of the calorimeter ? How is this value determined ?

Calorimetry is the study of heat changes 

There are two known calorimeter :
1. crude constant pressure calorimeter .

2. constant volume bomb .

It is important to specify the heat capacity of the calorimeter because it is important in measurement of "q" [heat change between surrounding and system]


This table may be helpful in solving some problems :



30. A 6.22-Kg piece of copper metal is heated from 20.5C of 324.3C. calculate the heat absorbed (in kJ) by the metal .

$$q=sm\Delta T$$
$$s_{cu}=0.385J/g.C$$
$$m=6.22\times10^3 g$$
$$\Delta T =324.3C-20.5C=303.8C$$
$$q=0.385 \times 6,22 \times 10^3 \times 303.8=727.509 KJ$$

31.Calculate the amount of heat liberated (in kJ) from 366 g of mercury when it cools from 77.0°C to 12.0°C

$$q=sm\Delta T$$
$$s_{Hg}=0.139 J/g.C$$
$$m=366 g$$
$$\Delta T=77-12=-65$$
$$q=0.139\times 366 \times -65 =-3.307Kj$$

32.A sheet of gold weighing 10.0 g and at a temperature of 18.0°C is placed flat on a sheet of iron weighing 20.0 g and at a temperature of 55.6°C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings. (Hint: The heat gained by the gold must be equal to the heat lost by the iron.

$$q_{Au}=-q_{Fe}$$
$$q_{Au}=0.129 \times 10 \times (\Delta T_{final}-18C)$$
$$q_{Au}=1.29\Delta T - 23.22 J$$
$$q_{Fe}=0.444\times 20 \times (\Delta T_{final}-55.6C)$$
$$q_{Fe}=8.88\Delta T - 493.728 J$$



33.A 0.1375-g sample of solid magnesium is burned in a constant-volume bomb calorimeter that has a heat capacity of 3024 J/°C. The temperature increases by 1.126°C. Calculate the heat given off by the burning Mg, in kJ/g and in kJ/mol.

the heat gained by calorimeter is
$$q=C\Delta T$$

$$3024 \times 1.126=3405.024 J$$
The heat given off by Mg per gram is
$$3405.024 J \div 0.1375 g = 24.764 KJ/g $$
The heat given off by Mg per mole is :
$$\frac{24.765}{1g} \times \frac{24.31g}{1mol}=602Kj/mole$$


34.A quantity of 2.00 × 10^2 mL of 0.862 M HCl is mixed with 2.00 × 10^2 mL of 0.431 M Ba(OH)_2 in a constant-pressure calorimeter of negligible heat capacity. The initial temperature of the HCl and Ba(OH)2 solutions is the same at 20.48°C. For the process:

$$H^++OH^-=H_2O$$
the heat of neutralization is −56.2 kJ/mol. What is the final temperature of the mixed solution? Assume the specific heat of the solution is the same as that for pure water.

$$q_{sln}=-q_{rxn}$$
There is 0.1724(=2 × 0.0862) mole of HCl involved in the reaction and 0.0862 mole of Ba(OH)_2
that means the number of moles of reactant is stoichiometrically equivalent according to the equation :
$$2HCl + Ba(OH)_{2}=2H_2O+BaCl_2$$

$$q_{rxn}=-56.2 \times 10^3 J$$
The amount of heat released when 1 mole of H 'positive'
is neutralized is given in the problem (-56.2 kJ/mol). The 
amount of heat liberated when 0.172 mole of H'positive'
is neutralized is:
$$0.1724 mole \times \frac{-56.2 \times 10^3J}{1mole}$$ 
q of reaction=9.69\times 10^3 J
$$q_{sln}=sm\Delta T$$
by assuming the specific heat of the reaction is the specific heat of the water and the density of the solution is the density of water 
$$q_{sln}=4.184\times 400 times (\Delta T _{final}-20.48)$$

q of solution =1673.6 × Delta T - 34275

673.6  T{final} - 34275=9.69 × 10^3 

$$T _{final}=\frac{43965}{1673.6}=26.2 C$$

35. A 50.75-g sample of water at 75.6°C is added to a sample of water at 24.1°C in a constant-pressure calorimeter. If the final temperature of the combined water is 39.4°C and the heat capacity of the calorimeter is 26.3 J/°C, calculate the mass of the water originally in the calorimeter.

$$q_{sln}=-q_{rxn}$$
q of solution is the heat capacity times the difference in temperature plus the heat absorbed by initially placed water .
$$q_{sln}=(26.3\times 15.3)+(4.148\times m \times 15.3)$$
$$q_{sln}=402.4 + 63.5 j$$
$$q_{rxn}=sm\times \Delta T$$
$$q_{rxn}=4.148 \times 50.75 \times (-36.2)$$
$$q_{rxn}=-7620.5$$
$$-7620.5=-402.4-63.5 m$$
$$m=\frac{7218.1}{63.5}=113.7 g $$

36.A piece of silver with a mass of 362 g has a heat capacity of 85.7 J/°C. What is the specific heat of silver?

$$s=C/g$$
$$s=\frac{85.7}{362}=0.236(J/g.C^o)$$

37.Consider two metals A and B, each having a mass of 100 g and an initial temperature of 20°C. The specific heat of A is larger than that of B. Under the same heating conditions, which metal would take longer to reach a temperature of 21°C?

Metal A will take longer time than metal B because it has larger specific heat .


38. From these data :
calculate the enthalpy change for the transformation :
$$S_{rhombic}\rightarrow S_{monoclinic}$$
(Monoclinic and rhombic are different allotropic forms of elemental sulfur.)

The enthalpy change can be illustrated according to Hess's law as the following :
$$S_{rhombic}+O_2\rightarrow SO_2\; \Delta H =-296.06KJ/mole$$
$$SO_2\rightarrow  \; S_{monoclinic}+O_2\Delta H =296.36 KJ/mole $$
By applying Hess's law The enthalpy change is :
$$\Delta H = -296.06 Kj+296.36 Kj=300 Joule$$

39. From the following data :
calculate the enthalpy change of 
$$2C_{graphite}+3H_2 \rightarrow C_2H_6$$

the calculation of enthalpy change can be illustrated according to Hess's law as the following :
$$2C+2O_2\rightarrow 2CO_2$$
$$3H_2+\frac{3}{2}O_2\rightarrow 3H_2O$$$$2CO_2+3H_2O\rightarrow C_2H_6+\frac{7}{2}O_2$$
Then 
$$\Delta H = $$

Chapter 4



Questions :

1. The aqueous solutions of three compounds are shown in the diagrams. Identify each compound as a nonelectrolyte, a weak electrolyte, or a strong electrolyte .

a) nonelectrolyte solution .
b) strong electrolyte solution .
c) weak electrolyte solution .

2.Which of the following diagrams best represents the hydration of NaCl when dissolved in water? The Cl− ion is larger in size than the Na+ ion.



The diagram best represent the hydration is c
because NaCl Ions are separated and H positive Inos is attracted to Cl which are negative .


3.Identify each of the following substances as a strong electrolyte, weak electrolyte, or nonelectrolyte: (a) H2O, (b) KCl, (c) HNO3, (d) HC2H3O2, (e) C12H22O11

a) nonelectrolyte 
b) strong electrolyte 
c) strong electrolyte
d) weak electrolyte
e) weak electrolyte 

4.Predict and explain which of the following systems are electrically conducting: (a) solid NaCl, (b) molten NaCl, (c) an aqueous solution of NaCl

an aqueous and molten solutions of NaCl are electrically conducting because Ions in these solutions are separated which promote conducting electricity .

5.You are given a water-soluble compound X. Describe how you would determine whether it is an electrolyte or a nonelectrolyte. If it is an electrolyte, how would you determine whether it is strong or weak

The first step is to determine whether this compound is molecular or ionic , if it is ionic , it is , then , strong electrolyte . The second step comes when the compound is molecular to determine whether it is acidic , basic or neither , if it is basic , it is weak electrolyte . If it is 
neither , it is nonelectrolyte . If it is acidic , is it listed in the strong electrolyte acidic molecular list , if so , it is , then , strong , if not , it is weak electrolyte
this diagram is helpful in solving such this questions 


The list of strong acidic molecular compounds :
- $$HCL$$
-$$HBr$$
-$$HI$$
-$$HNO_3$$
-$$HClO_3$$
-$$HClO_4$$
-$$H_2(SO)_4$$
-$$HSO_4$$

6.Write ionic and net ionic equations for the following reactions:

(a) AgNO3(aq) + Na2SO4(aq) →

(b) BaCl2(aq) + ZnSO4(aq) →

(c) (NH4)2CO3(aq) + CaCl2(aq) →

These two tables are helpful in solving this kind of questions :



a)

$$ AgNo_{3(aq)}+Na_2 (SO)_{4(aq)} \rightarrow 2Ag(So)_{4}+2Na(No_3)$$

Ionic equation :

$$2(Ag)^+ +2(No_3)^- +2(Na)^+ +(So_4)^{2-}\rightarrow \, Ag_2(So)_{4}+2(Na)^+ +2(NO_3)^-$$

net ionic equation :

$$2(Ag)^+ +(So_4)^{2-}\,\rightarrow Ag_2(So)_{4}$$

b)
$$ BaCl_{2(aq)}+Zn (SO)_{4(aq)} \rightarrow Ba(So)_{4}+ZnCl_2$$

Ionic equation :

$$(Ba)^{2+} +2(Cl)^{-} +(Zn)^{+2} +(So_4)^{2-}\rightarrow \, Ba(So)_{4}+(Zn)^{+2} +2(Cl)^-$$

Net Ionic equation :

$$(Ba)^{+2}+(So_4)^{-2}\,\rightarrow Ba(So)_{4}$$

c)
 $$(NH_4)_2 Co_3+CaCo_3\rightarrow\, NH_4Cl+CaCo_3$$

Ionic Equation :
$$2(NH_4)^{+} +(Co_3)^{2-} +(Ca)^{2+} +2(Cl)^{-}\rightarrow \, Ca(Co)_{3}+2(NH_4)^{+} +2(Cl)^-$$

Net Ionic Equation :
$$(Ca)^{2+}+(Co_3)^{2-}\, \rightarrow \, CaCo_3$$

7.List the general properties of acids and bases.

- Acids has a sour taste whether Bases has a bitter taste .
- Acids and Bases are strong electrolytes
- Acids turn blue litmus red while Bases turn red litmus blue

8.Give Arrhenius's and Brønsted's definitions of an acid and a base. Why are Brønsted's definitions more useful in describing acid-base properties?

- Arrhenius Acid is a substance that produce a (H+) ions when it ionizes in water .
- Arrhenius Base is a substance that produce a (OH-) ions when it ionizes in water .

- Bronsted Acid is a proton donor .
- Bronsted Base is a proton acceptor .

Bronsted definitions are more convenient because Arrhenius's ones are restricted to the behavior of acids and bases in aqueous solutions .

9.Give an example of a monoprotic acid, a diprotic acid, and a triprotic acid.

- Monoprotic acid : 
$$HCl$$
- Diprotic acid : 
$$H_2So_4$$
- Triprotic acid :
$$H_3Po_4$$

10.What are the products of an acid-base neutralization reaction?

-Water and salts

11.What factors qualify a compound as a salt? Specify which of the following compounds are salts: CH4, NaF, NaOH, CaO, BaSO4, HNO3, NH3, KBr 

- The factors are that salts are solids because they are a products of acid and base reaction and the salts must contain of a combination of an anion and a cation in which the cation isn't a (H+) and anion isn't
$$o^{2-}or (OH)^{-}$$


$$CH_4\, isn't a\, salt$$
$$NaF\, is\, a\, salt$$
$$NaOH, isn't\, a\, salt$$
$$CaO, isn't a\, salt$$
$$BaSo_4\, is\, a\, salt$$
$$HNO_3\, isn't a\, salt$$
$$NH_3\, isn't a\, salt$$
$$KBr\, is a\, salt$$

11.Identify the following as a weak or strong acid or base: (a) NH3, (b) H3PO4, (c) LiOH, (d) HCOOH (formic acid), (e) H2SO4, (f) HF, (g) Ba(OH)2

this figure below may be helpful.

$$-NH_3 \,is\,a\,weak\,base $$
$$-H_3Po_4\,is\,a\,weak\, acid $$
$$-LiOH \, is\,a\,strong\, base $$
$$-HCOOH \, is\, a\, weak\, acid $$
$$H_2So_4 is\, a\, strong\, acid$$
$$-HF \, is\, a\, weak\, acid$$
$$-Ba(OH)_2 \, is\, a\, Strong\, base $$

12.Identify each of the following species as a Brønsted acid, base, or both:

(a) $$HI$$
Both



(b) $$(C_2H_3O_2)^{-}$$



(c)
(d)



السبت، 22 مارس 2014

Chapter 2

Definitions and Notes:


The law of definite proportion : different samples of a given compound always  contain the same elements in the same mass ratio .

The law of multiple proportion : for any tow elements can combine to form more than one compound ; the masses ratio of the tow elements is of the smallest possible whole number .

Atom : the basic unit of an element that can enter into chemical combination.

Radiation : the emission and transmission of energy through space in the form of waves.

Hypothesis of Dalton's theory :
- All elements are composed of extremely small particles called atoms .
- Compounds composed of atoms of more than one elements .
- A chemical reaction rearranges atoms in compounds .

The electron's charge to mass ratio discovery , 1.76 x 10^8 C/g , was the Thomson contribution .

The electron's charge discovery , -1.6022 x 10^(-19)C , was the Millikan contribution .

From the Millikan's and Thomson's contributions , the mass of an individual electron is , 9.1x10^-28 g

The discovery of X Rays was a Wilhelm Rontgen contribution .

' Radioactivity ' name is proposed by Marie Curie , a Becquerel's student , to describe the emission and radiation . 

Alpha , Beta , and Gamma Rays are produced by the decay of radioactivity .

The discovery  of the nucleus was Rutherford contribution .

The discovery of neutron was Chadwick contribution .

The atomic number (Z) is the number of protons in the nucleus .

The mass number (A) is the number of the protons and neutrons in the nucleus .

Isotopes are a different forms of one element caused by the difference in the number of neutrons .

Metal elements are a good conductor of heat and electricity .

Nonmetal elements are a poor conductor of heat and electricity .

Metalloid elements have properties between Metals and Nonmetals .

Molecule : a combination of at least tow atoms held together by electrostatic forces known as covalent chemical bonds .

A molecule can be an element and they are called "homonuclear molecules " like
$$(Ozon "0_3")$$
or a compound " called heteronuclear molecule"like CO

Molecules can be named according to the number of atom they contain " diatomic - polyatomic"

An allotrope is one of two or more distinct forms of an element .



Questions :


1.The elements nitrogen and oxygen can form a variety of different compounds. Two such compounds, NO and N2O4, were decomposed into their constituent elements. One produced 0.8756 g N for every gram of O; the other produced 0.4378 g N for every gram of O. Show that these results are consistent with the law of multiple proportions

$$\frac{N in NO}{N in N_2o_4}=$$
$$\frac{0.8756}{0.4378}=2:1$$

2. Sulfur reacts with fluorine to produce three different compounds. The mass ratio of fluorine to sulfur for each compound is given in the following table:

$$\frac{S_2F_10}{SF_4}\, and \, \frac{SF_6}{SF_4}

$$\frac{2.962}{2.370}=1.25:1=5:4$$

$$\frac{3.555}{2.370}=1.5:1=3:2$$


3.Both FeO and Fe2O3 contain only iron and oxygen. The mass ratio of oxygen to iron for each compound is given in the following table:

$$\frac{Fe_2O_3}{FeO}$$
$$\frac{0.4297}{0.2865}=1.5:1=3:2$$

4.For the two compounds pictured, evaluate the following ratio:
$$ To_ the_ right_ \, : \frac{4}{2}=2:1 $$
$$ To the left \, : frac{3}{1}=3:1$$
$$\frac{2}{3}=2:3$$

5.The diameter of a neutral helium atom is about 1 × 10^2 pm. Suppose that we could line up helium atoms side by side in contact with one another. Approximately how many atoms would it take to make the distance 1 in from end to end?


converting in to pm :
$$1in \times \frac{2.54cm}{1in} \times {10^{10}pm}{1cm}=2.54\times10^{10}pm$$
$$? He Atoms = 2.54\times10^{10}pm \times{1 He atom}{1\times10^2pm}=2.54\times10^{10}$$

6. Roughly speaking, the radius of an atom is about 10,000 times greater than that of its nucleus. If an atom were magnified so that the radius of its nucleus became 2.0 cm, about the size of a marble, what would be the radius of the atom in miles (1 mi = 1609 m)?

$$radius of atom = 10000 radius of nucleus$$
$$radius of atom = 10000 \times 2.cm \times \frac{1m}{100cm} \times \frac{1mi}{1609m}=0.12 mi$$

7.The atomic masses of  (75.53 percent) and  (24.47 percent) are 34.968 and 36.956 amu, respectively. Calculate the average atomic mass of chlorine. The percentages in parentheses denote the relative abundances.

The average atomic mass = (mass weight of the isotope x it's natural abundance)+(mass weight of the isotope x it's natural abundance )

$$av. \, atmc. \, mss. \, = (35\times0.7535)+(37\times0.2447)=35.45amu$$

8.The atomic masses of 203Tl and 205Tl are 202.972320 and 204.974401 amu, respectively. Calculate the natural abundances of these two isotopes. The average atomic mass of thallium is 204.4 amu

$$(202.972320\times x)+(204.974401 \times (1-x))=204.4amu$$

By solving this equation for "x"
 $$x=0.2869$$

The natural abundance of 203Tl = 0.2869 x 100%=28.69%

Then the natural abundance of 205Tl = 100%-28.69=71.31%

9.For each of the following diagrams, determine whether it represents diatomic molecules, polyatomic molecules, molecules that are not compounds, molecules that are compounds, or an elemental form of the substance.
a) Elemental form of a substance , not a compound , poly atomic compound .
b) Polyatomic compound
c) Diatomic compound

10.Write the empirical formulas of the following compounds:
(a) C2N2, (b) C6H6, (c) C9H20, (d) P4O10, (e) B2H6

a)CN
b)CH
c)C9H20
d)P2O5
e)BH3


11.Write the molecular formula of alanine, an amino acid used in protein synthesis. The color codes are black (carbon), blue (nitrogen), red (oxygen), and white (hydrogen)

$$C_3H_7NO_2$$

12.Name the following binary molecular compounds: (a) NCl3, (b) IF7, (c) P4O6, (d) S2Cl2.

a) Nitrogen trichloride
b) Iodine heptafloride 
c) Tetraphosphorus hexoxide 
d) disulfur dichloride

13.

















الجمعة، 21 مارس 2014

Chapter 1



Definitions :


Chemistry  : the study of matter and changes that it undergoes .
Matter : anything that has a mass and occupies space .
Hypothesis : an educated guess based on comprehensive observations .
scientific law : concise verbal or mathematical statement of a reliable relationship between phenomena .
Theory : a set of conceptual assumptions that explains data from accumulated experiments , called " Model ".

Classifications of matter

Substance : a form of matter that has a defined composition and distinct properties .
Condensed phase : solids and liquids to which they are collectively referred .
Fluids : gases and liquids to which they are collectively referred .
Elements : a substance that cannot be separated into smaller substances by chemical means .
Compounds : a substance composed of two or more elements , chemically united into fixed properties .
Homogeneous mixture : a mixture or two or more substances in which the compositions are uniformly distributed throughout .
Heterogeneous mixture : a mixture of tow or more substances in which the compositions are not uniformly distributed throughout .
Quantitative  properties : properties that can be determined by measurement .
Qualitative properties : properties than cannot be determined by measurement .
Weight : the force exerted by an object due to gravity .
Mass : a measure of the amount in an object .
Physical property : a property that can be measured without changing the identity of the substance .
Chemical property : a property than cannot be measured without changing the identity of the substance .
Extensive property : a property that depends on the amount of matter .
Intensive property : a property than doesn't depend on the amount of matter .
Significant figure : the meaningful digits in a reported number .
Accuracy : a way tells how close a measurement to the right true value
Precision : a way tells how multiples measurements are close to one another .
Conversion factor : a fraction in which the same quantity is expressed one way in the numerator and the other way in the denominator .
Dimension analysis : the use of conversion factor in problem solving .

Equations :

$$K= C+273.15   or K=C+273$$

$$C=(F-32) \times \frac{5}{9}$$

$$F= ( \frac{9}{5} \times C ) + 32$$

$$D=\frac{M}{V}$$ where D is the density and M , V are ,respectively,  the mass and volume

Notes :

guidelines for using significant figures :
1.  Any digit that is not zero is significant. 
2. Zeros between nonzero digits are significant. 
3. Zeros to the left of the first nonzero digit are not significant. Their purpose is to 
indicate the placement of the decimal point. 
4. For numbers that do not contain decimal points, the trailing zeros (that is, zeros 
after the last nonzero digit) may or may not be significant.

Calculation with significant figures
1. In addition and subtraction , the answer cannot have more digits to the right of the original number with the smallest number of digits to the right of the decimal number .

2. In multiplication and division , the number of digits of the answer is determined by the smallest number of significant figure of the tow multiples or dividend numbers .

Questions :

1. Bromine is a reddish-brown liquid. Calculate its density (in g/mL) if 586 g of the substance occupies 188 mL.


 $$D=\frac{M}{V}$$

Therefore :

$$M = 586 g$$
$$V=188 mL$$

Then $$D=\frac{586}{188} = 3.117 g/mL$$

2.The density of ethanol, a colorless liquid that is commonly known as grain alcohol, is 0.798 g/mL. Calculate the mass of 17.4 mL of the liquid.
$$M=D.V$$
$$D=0.798g/mL$$
$$V=17.4 mL$$
Then :
$$ M=0.798x17.4=13.89g $$

3.Convert the following temperatures to degrees Celsius or Fahrenheit: (a) 95°F, the temperature on a hot summer day; (b) 12°F, the temperature on a cold winter day; (c) a 102°F fever; (d) a furnace operating at 1852°F; (e) –273.15°C (theoretically the lowest attainable temperature).

a)
$$ C=(F-32)x\times\frac{5}{9} $$

$$ C=(95-32)\times\frac{5}{9}$$

$$ C=35 $$

b)
 $$ C=(F-32)\times\frac{5}{9} $$

$$ C=(12-32)\times\frac{5}{9} $$

$$C=-11.11$$

4.The density of water at 40°C is 0.992 g/mL. What is the volume of 2.50 g of water at this temperature?

$$V=\frac{M}{D}$$

$$M=2.50$$

$$D=0.992g/mL$$

Therefore :

$$V=\frac{2.50}{0.992}=2.52mL$$

5.Classify the following as qualitative or quantitative statements, giving your reasons. (a) The sun is approximately 93 million mi from Earth. (b) Leonardo da Vinci was a better painter than Michelangelo. (c) Ice is less dense than water. (d) Butter tastes better than margarine. (e) A stitch in time saves nine.

a) It is a quantitative statement because it uses a measurement 
b) It is a qualitative statement because it doesn't use a measurement 
c) It is a qualitative statement because it doesn't use a measurement
d) It is a quantitative statement because it uses a measurement 
e) it is  a qualitative statement because it doesn't use a measurement 

6.Determine whether the following statements describe chemical or physical properties: (a) Oxygen gas supports combustion. (b) Fertilizers help to increase agricultural production. (c) Water boils below 100°C on top of a mountain. (d) Lead is denser than aluminum. (e) Uranium is a radioactive element.

Remembering that physical properties involve no change in the chemical composition of materials while chemical properties do involve chemical change .
a) Chemical property "something burns in oxygen to create an oxide"
b) Chemical property 'The biochemical processes of plants are chemical "
c) Physical property "Still is water, just the boiling point is reduced at reduced pressure"
d) Physical property "Density is a physical property"
e) Chemical property "Radioactivity involves changes in the composition of the materials"

7.
Determine whether each of the following describes a physical change or a chemical change: (a) The helium gas inside a balloon tends to leak out after a few hours. (b) A flashlight beam slowly gets dimmer and finally goes out. (c) Frozen orange juice is reconstituted by adding water to it. (d) The growth of plants depends on the sun's energy in a process called photosynthesis. (e) A spoonful of salt dissolves in a bowl of soup.

a) Physical property
b) Chemical property
c) Physical property
d) Chemical property
c) Physical property

8.Express the following numbers in scientific notation: (a) 0.000000027, (b) 356, (c) 47,764, (d) 0.096.

a) $$ 2.7\times10^{-8}$$

b) $$ 3.56 \times10^2$$

c) $$ 4.7764 \times10^1$$

d) $$ 9.6  \times10^{-2}$$

9.Determine the number of significant figures in each of the following measurements: (a) 4867 mi, (b) 56 mL, (c) 60,104 tons, (d) 2900 g, (e) 40.2 g/cm3, (f) 0.0000003 cm, (g) 0.7 min, (h) 4.6 × 1019 atoms.\

a) 4
b) 2
c) 5
d) 2 or 3 or 4
e) 3
f) 1
g) 1
h) 2

10. Three students (A, B, and C) are asked to determine the volume of a sample of ethanol. Each student measures the volume three times with a graduated cylinder. The results in milliliters are: A (87.1, 88.2, 87.6); B (86.9, 87.1, 87.2); C (87.6, 87.8, 87.9). The true volume is 87.0 mL. Comment on the precision and the accuracy of each student's results.

The first student's "A" results are not precious not accurate .
The second student's "B" results are precious and accurate .
The third student's "C" results are precious but they are accurate 

11. The average speed of helium at 25°C is 1255 m/s. Convert this speed to miles per hour (mph).

$$1255m/s\, . \frac{1mile}{1609m} . \frac{3600s}{1h}\,=2.807\times10^{3}$$

12.A slow jogger runs a mile in 13 min. Calculate the speed in (a) in/s, (b) m/min, (c) km/h (1 mi = 1609 m; 1 in = 2.54 cm).

a) $$\frac{1}{13} mi/min.\,\frac{1609m}{1mi} . \frac{2.54in}{1m} . \frac{1min}{60s}=5.24 in/s$$

b) $$\frac{1}{13} mi/min . \,\frac{1609m}{mi}=123.77m/min$$
c) $$\frac{1}{13} mi/min . \,\frac{1.609km}{1mi} .\frac{3600s}{1h}=445.57km/h$$

13. A 6.0-ft person weighs 168 lb. Express this person's height in meters and weight in kilograms (1 lb = 453.6 g; 1 m = 3.28 ft).

$$ Hight : 6ft\, .\frac{1m}{3.28ft}=1.83m$$
$$ Weight : 168Ib\, .\frac{453.6g}{1Ib}\, . \frac{1kg}{1000}=76.20kg$$

14. The average time it takes for a molecule to diffuse a distance of x cm is given by
where t is the time in seconds and D is the diffusion coefficient. Given that the diffusion coefficient of glucose is 5.7 × 10−7 cm2/s, calculate the time it would take for a glucose molecule to diffuse 10 µ m, which is roughly the size of a cell.

$$t=\frac{x^2}{2d}\rightarrow t=\frac{(10\times10^{-4})^2}{2\times5.7\times10^{-7}}=\frac{1}{11400}=0.877s$$

15.(a) Carbon monoxide (CO) is a poisonous gas because it binds very strongly to the oxygen carrier hemoglobin in blood. A concentration of 8.00 × 102 ppm by volume of carbon monoxide is considered lethal to humans. Calculate the volume in liters occupied by carbon monoxide in a room that measures 17.6 m long, 8.80 m wide, and 2.64 m high at this concentration. (b) Prolonged exposure to mercury (Hg) vapor can cause neurological disorder and respiratory problems. For safe air quality control, the concentration of mercury vapor must be under 0.050 mg/m3. Convert this number to g/L. (c) The general test for type II diabetes is that the blood sugar (glucose) level should be below 120 mg per deciliter (mg/dL). Convert this number to micrograms per milliliter (μg/mL).

a) start by converting the room dimensions to L

$$17.6 long\, \times 8.80 wide\, \times 2.64 high\, \frac{(10)^3}{1m^3}=4.089\times10^{5}$$

'ppm' means part per million part .

then :

$$\frac{8.00\times 10^2}{1.00\times10^6}=8\times10^{-4}$$

multiplying this percent by volume of the carbon monoxide into the volume of the room

$$4.089\times 10^{5} \times 8\times 10^{-4}=327.12\, L$$

b) 
$$0.05mg/m^3 \, \frac{1g}{1000mg} \, \times{1m}{10^3L}=5\times10^{-8}$$

c)
$$120mg/dL\,\times \frac{10^{3}\mu g}{1mg}\,\times\frac{10dL}{1L}\,\times\frac{1L}{1000ml}=1200\mu /mL$$


16.A piece of metal with a mass of 13.2 g was dropped into a graduated cylinder containing 17.00 mL of water. The graduated cylinder after the addition of the metal is shown. Determine the density of the metal to the appropriate number of significant figures.





$$D=\frac{M}{V}\,\rightarrow$$
$$M=13.2g$$
$$V=18.5-17.0=1.5mL$$
$$D=\frac{13.2}{1.5}\,=8.8g/mL$$

17.Which of the following statements describe physical properties and which describe chemical properties? (a) Iron has a tendency to rust. (b) Rainwater in industrialized regions tends to be acidic. (c) Hemoglobin molecules have a red color. (d) When a glass of water is left out in the sun, the water gradually disappears. (e) Carbon dioxide in air is converted to more complex molecules by plants during photosynthesis.

a) Chemical property
b) Chemical property
c) Physical property
d) Physical property
e) Chemical property

18. In determining the density of a rectangular metal bar, a student made the following measurements: length, 8.53 cm; width, 2.4 cm; height, 1.0 cm; mass, 52.7064 g. Calculate the density of the metal to the correct number of significant figures.

$$D=\frac{M}{V}\rightarrow M=52.7064 \, V=(8.53\times2.4\times1)cm^3\,\rightarrow\,D=\frac{52.7064}{20.472}\,=\,2.575g/cm^3$$

19.Calculate the mass of each of the following: (a) a sphere of gold with a radius of 10.0 cm (volume of a sphere with a radius r is $$V= \frac{4}{3} \times \Pi r^3$$ density of gold = 19.3 g/cm3), (b) a cube of platinum of edge length 0.040 mm (density = 21.4 g/cm3), (c) 50.0 mL of ethanol (density = 0.798 g/mL)

a) $$M=D\times V \rightarrow D=19.3g/cm^3\,V=(\frac{4}{3}\times\Pi\times10^3) \rightarrow M=19.3\times 418.88=8\times 10^4$$

b) $$M=D\times V $$
$$ D=21.4g/cm^3 \, V= (0.0040)^3$$
$$M=21.4 \times 6.4 \times 10^{-8}\,=1.4\times10^{-6}$$

c) $$M=D\times V \rightarrow D=0.798g/mL \, V= 50.0mL$$
$$M=0.399 g$$

20.A cylindrical glass tube 12.7 cm in length is filled with mercury (density = 13.6 g/mL). The mass of mercury needed to fill the tube is 105.5 g. Calculate the inner diameter of the tube (volume of a cylinder of radius r and length h is V = πr2h).

$$V=\frac{M}{D}$$
$$M=105,5 \, , D=13.6g/mL \,,, V= \Pi\times r^2 \times h$$
$$\Pi \times r^2 \times 12.7 =  \frac{105.5}{13,6} \rightarrow \, r= \sqrt{35.96} \rightarrow r= 5,99 \approx 6$$

21.A piece of silver (Ag) metal weighing 194.3 g is placed in a graduated cylinder containing 242.0 mL of water. The volume of water now reads 260.5 mL. From these data calculate the density of silver
$$D=\frac{M}{V}$$
$$M=194.3g \, V=(260.5-242.0) mL =18.5mL$$
$$D=\frac{194.3}{18.5mL}=10.5g/mL$$

22.At what temperature does the numerical reading on a Celsius thermometer equal that on a Fahrenheit thermometer?

$$C=(F-32)\times \frac{5}{9}$$

substituting F by C

$$C=(C-32) \times {5}{9}$$

$$\frac{9}{5}C - C= -32$$

By solving this equation for C :

$$C=F=-40$$

23.Suppose that a new temperature scale has been devised on which the melting point of ethanol (–117.3°C) and the boiling point of ethanol (78.3°C) are taken as 0°S and 100°S, respectively, where S is the symbol for the new temperature scale. Derive an equation relating a reading on this scale to a reading on the Celsius scale. What would this thermometer read at 25°C?

To solve this problem a value of A and B in the following equation should be  found

$$C=A\times S -117.3 C$$

The value of A :

$$\frac{78.3-(-117.3)}{100}=\frac{489}{250}$$

Then The Conversion Equation is

$$C=\frac{489}{250} S - 117.3 C$$

$$S=(C+117.3) \times \frac{250}{489}$$

24.The total volume of seawater is $$1.5 × 10^{21}L$$ Assume that seawater contains 3.1 percent sodium chloride by mass and that its density is 1.03 g/mL. Calculate the total mass of sodium chloride in kilograms and in tons (1 ton = 2000 lb; 1 lb = 453.6 g)

$$M=D \times V$$

$$D=1.03g/mL \times \frac{1kg}{1000g} \times \frac{1000mL}{1L}=1.03Kg/L$$
$$V=1.5\times 10^{21} \times \frac{3.1}{100}=4.65\times 10^{19}$$
$$M=1.03 \times 4.65=4.79\times10^{19}Kg\, or \, 4.79\times10^{16} ton$$

25.If we mix sand with iron filings (powder) in equal amount the mixture is :

[heterogeneous mixture]


26.Typically, room temperature and human body temperature are 25 C 37 C respectively . Find the temperature difference in degree Fahrenheit

$$F=\frac{9}{5}C+32$$

$$F=( \frac{9}{5}\times 25)+32=77F$$

$$F=( \frac{9}{5}\times 37)+32=98.6F$$

$$Then\,the\, difference \,is 98.6-77=21.6 \approx \,22$$