The ratio of pressures of the same gas in two equal-volume containers is

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The ratio of pressures of the same gas in two equal-volume containers is P1P2=n1T1n2T2\frac{P_1}{P_2}=\frac{n_1T_1}{n_2T_2}, where n1n_1 and n2n_2 are the numbers of moles and T1T_1 and T2T_2 are the respective temperatures. If the two containers are joined, find the ratio of pressure to temperature. (a) P1T2+P2T12T1T2\frac{P_1T_2+P_2T_1}{2T_1T_2} (b) P1T1−P2T1T1T2\frac{P_1T_1-P_2T_1}{T_1T_2} (c) P1T1+P2T2T1T2\frac{P_1T_1+P_2T_2}{T_1T_2} (d) None of these

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