Argon, treated as an ideal gas, is compressed isothermally at a fixed temperature of…

PHYSICS · Multi-part · Fermi University Physics · Thermal, Statistical & Complex Systems · Thermodynamic potentials and the formal structure of thermodynamics · Thermodynamic potentials and the formal structure of thermodynamics

Thermal Physics, Ch Chemical potential, open systems and chemical equilibrium

Problem

Argon, treated as an ideal gas, is compressed isothermally at a fixed temperature of

350\,\mathrm{K}

from a pressure of

1.00\,\mathrm{bar}

to a pressure of

5.00\,\mathrm{bar}

. ((a)) By how much does the chemical potential of the argon change, per molecule? ((b)) Express the same change per mole, in

\mathrm{kJ\,mol^{-1}}

. Take

k_B = 1.381\times10^{-23}\,\mathrm{J\,K^{-1}}

R = 8.314\,\mathrm{J\,mol^{-1}\,K^{-1}}

and

N_A = 6.022\times10^{23}\,\mathrm{mol^{-1}}

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