A sealed 22.4L flask contains pure O2 at STP. A second sealed flask contains CH4

Question

A sealed 22.4L flask contains pure O2 at STP. A second sealed flask contains CH4 at STP. Which of the following statements concerning the molecules in the flasks is/are true? Please provide explanation.

1. The average kinetic energy of the O2 molecules is greater than the av. kinetic energy of the CH4 molecules

2. The av. velocity of the CH4 molecules is greater than the average velocity of the O2 molecules

3. The volume occupied by the gas molecules is small relative to the total volume of the flasks

A) 1 only
B) 2 only
C)3 only
D) 2 and 3
E) 1, 2, and 3.

Explanation / Answer

1)FALSE

Average KE=3/2RT

Since it does not depend on molecular weight of molecules both flaska will have same KEavg

2)TRUE

Average Velocity=sqrt(8RT/piM)

Since average velocity is inversely proportional to sqrt of Molecular weight

CH4(mol wt 16) molecules will have more avg velocity than O2(mol wt 32) molecules

3)TRUE

The volume of both gas molecules will be small relative to the tatal volume of the flasks since it the basic assumption in kinetic theory of gases

So D is the correct option

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