A partition divides a container having insulated walls into two compartments I and II. The same gas fills the two compartments whose initial parameters are given. The partition is a conducting wall wh

Question

A partition divides a container having insulated walls into two compartments I and II. The same gas fills the two compartments whose initial parameters are given. The partition is a conducting wall which can move freely without friction. Which of the following statements is/are correct, with reference to the final equilibrium position?

diagram

TestHub · Accepted Answer

Movable frictionless partition: final pressures equal - (A) correct. Conducting wall: common final temperature.

$P V = n_{1} RT, 4 P V = n_{2} RT$ with $n_{2} = 4 n_{1}$ . Total internal energy unchanged: $T_{f ina l} = T$ .

$P_{1} V_{1} = P V$ and $P_{1} (3 V - V_{1}) = 4 P V$ give $V_{1} = \frac{3 V}{5}$ - (B), $V_{2} = \frac{12 V}{5}$ - (C), $P_{1} = \frac{5 P}{3}$ - (D).

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Options:(select one or more)

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