An L-shaped rigid tube consists of two equal-length arms, A and B

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

An L-shaped rigid tube consists of two equal-length arms, A and B, each having a uniform volume of

2.0\,\text{L}

. A stopcock at the elbow isolates the two arms. Arm A contains

0.040\,\text{mol}

of an ideal monatomic gas at temperature

350\,\text{K}

and pressure

P_{A0}

. Arm B is evacuated. The entire apparatus is maintained at

350\,\text{K}

at all times. The stopcock is now opened, allowing the gas to expand and fill both arms. Neglect the volume of the stopcock and connecting junctions. (a) Calculate the final uniform pressure

P_{f}

in the tube after equilibrium is reached. (b) Determine the ratio of the final gas density in arm A to its initial density before the stopcock was opened. (c) Explain qualitatively why the pressure in arms A and B is the same after equilibrium, even though only arm A originally contained gas.

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