A rigid container of volume is divided into two equal compartments by an internal barrier

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A rigid container of volume

2.0\,\text{m}^3

is divided into two equal compartments by an internal barrier. The left compartment contains

2.0\,\text{mol}

of an ideal monatomic gas, and the right contains

4.0\,\text{mol}

of the same gas. Both compartments are at

300\,\text{K}

. The barrier is removed without allowing any energy exchange with the surroundings, and the gases mix until uniform. What is the final pressure in the container? (a)

4.7\,\text{kPa}

(b)

15\,\text{kPa}

(c)

7.5\,\text{kPa}

(d)

3.7\,\text{kPa}

Related theory

Internal Energy
Ideal Gas Law
Equation of State
Ideal gas equation
Ideal gas equation and absolute temperature
Thermal Properties of Matter
Thermodynamics

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