(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two ideal gas (n mole A and m mole B) was separated by a piston (impermeable and diathermal) the whole setup is confine in a adiabatic walls so no heat exchange with outside. Let the piston move, at equilibrium, find the final volume. Assume the final temperature of both gas is T and the total volume is V.

2. The attempt at a solution

First of all, both gas satisfy ideal gas state equation

[tex]

\frac{P_AV_A}{T_A} = nR, \qquad \qquad \frac{P_BV_B}{T_B} = mR

[/tex]

Since we know the final temperature, and at equilibrium, the pressure is the same on both compartment (otherwise, the piston will move), so assuming the final volume of A is [tex]V_A[/tex], then the final volume of B will be [tex]V-V_B[/tex], we conclude that

[tex]

\frac{P}{T} = nRV_A = \frac{P}{T} = mR(V-V_A)

[/tex]

We can solve for [tex]V_A[/tex] and [tex]V_B[/tex], right?

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# Find the final volume

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