Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 5.3-11

THE EXTREMUM PRINCIPLE IN THE LEGENDRE TRANSFORMED REPRESENTATIONS

Physics — Statistical Mechanics · chemical-potentials-mixture-reservoir

Problem

A mixture of two monatomic ideal gases is contained in a volume

V

at temperature

T

. The mole numbers are

N_1

and

N_2

. Calculate the chemical potentials

\mu_1

and

\mu_2

. Recall Problems 5.3-1 and 5.3-10. Assuming the system to be in contact with a reservoir of given

T

and

\mu_1

, through a diathermal wall permeable to the first component but not to the second, calculate the pressure in the system.