Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The final temperature of the gas is

Question

Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The final temperature of the gas is (A) 273 K (B) 2(273)K (C) ((273/2)) K (D) (273)(2)&gamma;-1 K

Tardigrade Admin · Accepted Answer

In a free expansion, the internal energy and hence the temperature does not change.

Q. Two cylinders $A$ and $B$ of equal capacity are connected to each other via a stop cock. $A$ contains an ideal gas at standard temperature and pressure. $B$ is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The final temperature of the gas is

273 K

2(273)K

$(\frac{273}{2}) K$

(273) $(2)^{γ - 1} K$

In a free expansion, the internal energy and hence the temperature does not change.

Q. Two cylinders A and B of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The final temperature of the gas is

273 K

2(273)K

(2273​)K

(273)(2)γ−1K

In a free expansion, the internal energy and hence the temperature does not change.

Q. Two cylinders $A$ and $B$ of equal capacity are connected to each other via a stop cock. $A$ contains an ideal gas at standard temperature and pressure. $B$ is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The final temperature of the gas is

$(\frac{273}{2}) K$

(273) $(2)^{γ - 1} K$