Problem: Consider the following gas samples:Sample A: S 2(g); n = 1 mol; T = 800 K; P = 0.20 atm; andSample B: O 2(g); n = 2 mol; T = 400 K; P = 0.40 atmWhich one of the following statements is FALSE?a) The volume of sample A is twice the volume of sample B.b) The average kinetic energy of the molecules in sample A is twice the average kinetic energy of the molecules in sample B.c) The fraction of molecules in sample A having a kinetic energy greater than some high fixed value is larger than the fraction of molecules in sample B having kinetic energies greater than that same high fixed value.d) The mean square velocity of molecules in sample A will be twice as large as the mean square velocity of molecules in sample B.e) Assuming identical intermolecular forces in the two samples. sample A should be more nearly ideal than sample B. 

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Problem Details

Consider the following gas samples:

Sample A: S 2(g); n = 1 mol; T = 800 K; P = 0.20 atm; and

Sample B: O 2(g); n = 2 mol; T = 400 K; P = 0.40 atm

Which one of the following statements is FALSE?

a) The volume of sample A is twice the volume of sample B.

b) The average kinetic energy of the molecules in sample A is twice the average kinetic energy of the molecules in sample B.

c) The fraction of molecules in sample A having a kinetic energy greater than some high fixed value is larger than the fraction of molecules in sample B having kinetic energies greater than that same high fixed value.

d) The mean square velocity of molecules in sample A will be twice as large as the mean square velocity of molecules in sample B.

e) Assuming identical intermolecular forces in the two samples. sample A should be more nearly ideal than sample B. 

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Based on our data, we think this problem is relevant for Professor Perrin's class at UCSD.