Two identical vessels contain the same gas at pressures P1 and P2 at absolute temperatures T1 and T2 respectively. On joining the vessels with a small tube, the gas reaches a common temperature T and a common pressure P. Determine the ratio P/T.
A
P1T1+P2T2T1T2
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B
12(P1T1+P2T2T1T2]
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C
12(P1T2+P2T1T1T2]
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D
P1T2+P2T1T1T2
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Solution
The correct option is C12(P1T2+P2T1T1T2] On combining the vessels, the total number of moles remains constant i.e n=n1+n2 Using the ideal gas equation, we can write n1=P1VRT1 n2=P2VRT2 and n=P(2V)RT where V is the volume of each vessel. Thus, P(2V)RT=P1VRT1+P2VRT2orPT=12(P1T1+P2T2]=12(P1T2+P2T1T1T2]