Two identical vessels contain the same gas at pressures $P_{1}$ and $P_{2}$ at absolute temperatures $T_{1}$ 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 $\frac{P}{T}$ .

Question

Infinity Learn · Accepted Answer

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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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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