chemistry: complete the following work sheet, show your work Please do the worksheet on paper, take pictures and convert to PDF.Worksheet 1

CHEM 401

Instructor: Dr. Afra Panahi

1. Some of the most widely used units for pressure are bar, atm and torr. According to table

1A.1:

Name Symbol

Value

bar

1 bar

105 Pa

atm

1 atm

101.325 kPa

torr

1 Torr

133.32 Pa

a. What is 2 bars in atm?

b. What is 3040 Torr in atm?

2. The value of gas constant is 8.314 J/(mol K).

a. What is the value and units of R if the volume is expressed in L (or dm3) and pressure is

in atm? Hint: 1m = 10dm

b. What is the value and unit of R if volume is in dm3 and pressure is in bar?

3. A mixture of 8.00 moles of 4 different prefect gasses (as listed in the following table) occupies

volume of 40.00 dm3 (also referred to as liters) at 298.15 K. (R=0.08205 dm3 atm K-1 mol-1)

Complete the table using the given data.

name

N2

O2

He

Ar

Partial pressure (atm)

Number of moles

2.00

Mole fraction

1.83

0.125

4.

a. Plot the compression factor, Z of a perfect gas at 10°C versus pressure.

b. Molar volume of an unknown gas at 100 atm and 20°C is 0.35 dm3 mol-1. Are attractions

forces dominant? If the molar volume is 0.192 dm3 mol-1 which forces are dominant?

5. 1.00 dm3 of N2 (g) at 2.10 bar and 300.00K and 2.00 dm3 of Ar (g) at 3.40 bar and 300.00K are

mixed in a 4.00 dm3 flask. They are both perfect gases. If the temperature is kept constant

(300.00K),

a. Calculate number of moles of each gas

b. Calculate mole fraction of each gas in the mixture.

c. Calculate the final pressure of the mixture

6. Calculate the pressure of 1.00 mole of an unknown gas at 400.00K and molar volume of

9.42 10 2 dm3 mol-1 if the gas behaves as a van der Waals gas with a = 9.3919 dm6 bar mol-2

and b = 0.090494 dm3mol-1.

7. A sample of 1.00 mole of Xe gas occupies 25.00dm3 at 200.00K. If treated as a perfect gas,

the volume is calculated to be 22.00 dm3. What is the compression factor? Which forces are

dominant?

8. The b constant for gas A, which is a van der Waals gas, is 0.080494 dm3mol-1. The b

constant is 0.00640954 dm3mol-1 for gas B. Which one of these gases have larger molecular

volume?

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