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Question

1023 molecules of nitrogen, argon and carbon dioxide each are confined in three closed boxes of a large fixed volume V, at the same temperature T. Knowing the molecular weights of the gases are in the order MCO2>MN2>MAr, what can you say about the pressures of the gases in each container?


A

PAr > PN2 > PCO2

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B

PCO2 > PN2=PAr

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C

PCO2 > PN2 > PCO2

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D

PAr=PN2=PCO2

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Solution

The correct option is D

PAr=PN2=PCO2


At low densities, all real gases seem to obey the ideal gas equation PV=nRT.

This suggests, at constant volume, quantity, and temperature, P=(nRTv) will be same for all gases.

In our discussion, PAr=PN2=PCO2.

The molecular masses won't play any real role at low densities


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