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Question 1

A cylinder of volume 1810 dm³ contains gas at a pressure of 197 atm and temperature of 25°C. Assuming that the gas behaves as a perfect gas, calculate the amount of gas contained in the cylinder.

a) 298 mol

b) 1720 mol

c) 14600 mol

d) 1.46 × 10⁶ mol

Question 2

A pressure vessel contains a gaseous mixture made up of 2.34 kg silane, SiH₄, and 55.4 kg argon. Determine the mole fraction of silane.

a) 0.050

b) 0.041

c) 0.095

d) 0.064

Question 3

The partial pressure of ethanol in the air above a sample of liquid ethanol is 10.5 Torr. Assuming the air to be at normal pressure, calculate the mole fraction of ethanol in the air.

a) 0.0788

b) 0.0798

c) 0.0140

d) 0.0138

Question 4

Calculate the root-mean-squared speed of methane, CH₄, molecules in a sample of at 25°C.

a) 6.24 m s^-1

b) 10.2 m s^-1

c) 21.5 m s^-1

d) 681 m s^-1

Question 5

Calculate the mean speed of oxygen molecules, O₂, in air at 25°C.

a) 482 m s^-1

b) 444 m s^-1

c) 14.0 m s^-1

d) 129 m s^-1

Question 6

Calculate the mean free path of carbon dioxide molecules, CO₂, in a sample of gas at standard ambient temperature and pressure. The collision cross section of a carbon dioxide molecule is 0.52 nm².

a) 55.9 nm

b) 559 μm

c) 4.69 nm

d) 5.59 mm

Question 7

Calculate the compression factor for carbon dioxide at its critical point given that T_c= 31 °C, p_c= 72.9 atm and V_c= 94.0 cm³mol^-1.

a) 0.275

b) 1

c) 2.69

d) 26.6

Question 8

Use the van der Waals equation of state to calculate the pressure exerted by exactly 1 mol of gaseous ammonia, NH₃, held at a temperature of 1000 K in a vessel of volume 2.50 dm³. The values of the van der Waals parameters for ammonia are a = 4.225 atm dm⁶ mol^-2 and b = 3.71 × 10^-2 dm ³ mol ^-1.

a) 3.33 kPa

b) 3.31 MPa

c) 1970 Pa

d) 224 kPa

Question 9

The second virial coefficient of ammonia, NH₃, is -40.4 cm³mol^-1 at 600 K. What does this imply about the nature of the interactions between the molecules at this temperature?

a) The interactions between molecules are attractive.

b) The interactions between molecules are negligible.

c) Nothing. The value of the virial coefficient is unrelated to the molecular interactions.

d) The interactions between molecules are repulsive.

Question 10

Use the virial equation to calculate the pressure exerted by exactly 1 mol of hydrogen held in a cylinder of volume 0.250 dm³ at a temperature of 1000 K. The value of the second virial coefficient of hydrogen at this temperature is +22.54 cm³ mol^-1.

a) 33.3 kPa

b) 333 kPa

c) 33.3 MPa

d) 36.3 MPa

Oxford University Press, Online Resource Centre, Chapter 01.

Chapter 01

Instructions