Chemistry Question

1. Consider a gas that satisfies the van der Waals equation of state with parameters a = 1.337 atm L² mol^-2 and b = 0.0320 L mol^-1. What is the value of the second virial coefficient B(T) of the gas at T = 325.0 K?

   	a.	-2.81 × 10-2 L mol-1
   	b.	-1.81 × 10-2 L mol-1
   	c.	3.20 × 10-2 L mol-1
   	d.	5.01 × 10-2 L mol-1
   	e.	-5.01 × 10-2 L mol-1

20 points

QUESTION 2

1. Consider a gas that satisfies the van der Waals equation of state with parameters a = 1.337 atm L² mol^-2 and b = 0.0320 L mol^-1. What is the value of the fourth virial coefficient D(T) of the gas at T = 325.0 K?

   	a.	1.22 × 10-11 L3 mol-3
   	b.	1.02 × 10-3 L3 mol-3
   	c.	-1.26 × 10-5 L3 mol-3
   	d.	3.28 × 10-5 L3 mol-3
   	e.	3.17 × 10-1 L3 mol-3

20 points

QUESTION 3

1. Consider a gas that satisfies the van der Waals equation of state with parameters a = 1.337 atm L² mol^-2 and b = 0.0320 L mol^-1. What is the value of the Boyle temperature for the gas?

   	a.	286 K
   	b.	322 K
   	c.	509 K
   	d.	953 K
   	e.	236 K

20 points

QUESTION 4

1. Consider a gas that satisfies the van der Waals equation of state with parameters a = 1.337 atm L² mol^-2 and b = 0.0320 L mol^-1. What is the value of the compression factor Z of the gas at T = 600 K and molar volume = 0.0500 L mol^-1?

   	a.	1.148
   	b.	24.18
   	c.	1.199
   	d.	1.148
   	e.	2.235

20 points

QUESTION 5

1. Consider a gas that satisfies the van der Waals equation of state with parameters a = 1.337 atm L² mol^-2 and b = 0.0320 L mol^-1. What is the value of the molar volume at T = 200.0 K and p = 50.00 atm?

   	a.	0.5248 L mol-1
   	b.	0.3842 L mol-1
   	c.	0.3526 L mol-1
   	d.	0.3282 L mol-1
   	e.	0.2741 L mol-1