InterviewSolution
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InterviewSolution
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Two identical vessels contain the same gas at pressure `P_(1)` and `P_(2)` at absolute temperature `T_(1) and T_(2)`, 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 `P//T` A. `[(P_(1) T_(1) + P_(2) T_(2))/(T_(1) T_(2))]`B. `(1)/(2)[(P_(1) T_(1) + P_(2) T_(2))/(T_(1) T_(2))]`C. `(1)/(2)[(P_(1) T_(2) + P_(2) T_(1))/(T_(1) T_(2))]`D. `[(P_(1) T_(2) + P_(2) T_(1))/(T_(1) T_(2))]` |
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Answer» Correct Answer - C On combining the two vessels the total number of moes remains constant , `i.e., n = n_(1)+n_(2)` Using gas equation, we can write , `n_(1) +(P_(1)V)/(RT_(1)), n_(2) = (P_(2)V)/(RT_(2))` and `n=(P(2V))/(RT)` where `V` is the volume of each vessel. Thus `(P(2V))/(RT) = (P_(1)V)/(RT_1)+(P_(2)V)/(RT_2) or P/T = 1/2[(P_1)/(T_1)+(P_2)/(T_2)]` . |
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