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Q.

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 as shown in the figure, the gas reaches a common temperature T and a common pressure P. Determine the ratio PT.

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a

[P1T1+P2T2T1T2]

b

12[P1T1+P2T22T1T2]

c

12[P1T2+P2T1T1T2]

d

[P1T2+P2T1T1T2]

answer is C.

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Detailed Solution

On combining the two vessels the total number of moles remains constant, i.e., n = n1+n2Using gas equation, we can write, n1 = P1VRT1; n2 = P2VRT2 and n = P(2V)RTwhere V is the volume of each vessel.Thus P(2V)RT = P1VRT1+P2VRT2or PT = 12[P1T1+P2T2]
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