Two separate

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

Two separate, rigid chambers are connected by a valve and together form a nearly insulated system. Chamber A contains

2.0\,\text{mol}

of an ideal monatomic gas at

700\,\text{K}

; Chamber B contains

1.0\,\text{mol}

of the same gas at

300\,\text{K}

. The valve is opened, allowing the gases to mix, and during the mixing process

100\,\text{J}

of energy leaks to the surroundings. After equilibrium is reached, determine the final common temperature of the gas mixture.