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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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