Suppose you connect three vessels of equal volume. The vessels are thermally ins

Question

Suppose you connect three vessels of equal volume. The vessels are thermally insulated. You decide to connect the three vessels by placing thin tubes of negligible volume in between each container so that gas can flow from one vessel to the next when a stopcock between them is open. Initially, the pressure and temperature in each container is at the same value Po and To, respectively. The stopcocks between the vessels are opened, and thermal insulation is removed from two of the vessels. Then two vessels are surrounded by heat reservoirs so that their temperatures are maintained at 1.25To and 1.7To while the third remains at To. What is the final pressure of the system when mechanical equilibrium is reached?

Explanation / Answer

Since it has thermal changes so,

P*V=n*R*T

P0=n*R*T0/V0

Pfinal= P1+P2+P3 = n*R*1.25*T0/V0+n*R*1.7*T0/V0+n*R*T0/V0

=(1.25+1.7+1)*P0 = 3.95*P0

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