Q.
A gas in container A is in thermal equilibrium with another gas in container B. Both contain equal masses of the two gases. Which of the following can be true?
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a
PAVA=PBVB
b
PA=PB, VA≠VB
c
PA≠PB, VA=VB
d
PAVA=PBVB
answer is B.
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Detailed Solution
According to the problem, mass of gases is equal so number of moles will not be equal, i.e., μA≠μBFrom ideal gas equation, PV=μRT∴PAVAμA=PBVBμB(as temperatures of the containers are equal) From this relation it is clear that if PA=PB; then VAVB=μAμB≠1i.e., VA≠VBSimilarly, if VA=VB then PAPB=μAμB≠1 i.e., PA≠PB
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