Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 3.4-9

SOME FORMAL RELATIONSHIPS, AND SAMPLE SYSTEMS

Physics — Statistical Mechanics · ideal-gas-mixing-two-tanks

Problem

A tank has a volume of

0.1

^3

and is filled with He gas at a pressure of

5 \times 10^6

Pa. A second tank has a volume of

0.15

^3

and is filled with He gas at a pressure of

6 \times 10^6

Pa. A valve connecting the two tanks is opened. Assuming He to be a monatomic ideal gas and the walls of the tanks to be adiabatic and rigid, find the final pressure of the system. Hint: Note that the internal energy is constant. Answer:

P_f = 5.6 \times 10^6

Related theory

Ideal Gas Equation And Absolute Temperature

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