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    Chemical potential as a function of pressure

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    Show that the equation:

    μ (T, P) = μ° (T) + kT ln (P/P°)

    is in agreement with the explicit formula for the chemical potential for a monatomic ideal gas. Show how to calculate μ° for a monatomic ideal gas.

    © BrainMass Inc. brainmass.com June 3, 2020, 7:38 pm ad1c9bdddf
    https://brainmass.com/physics/second-law-of-thermodynamics/chemical-potential-function-pressure-106224

    Solution Preview

    In thermodynamics, everything can be derived from the Omega function that gives you the number of microstates compatible with a macrostate.

    The derivatives of Log(Omega) w.r.t. the energy defines the temperature parameter:

    beta = dLog(Omega)/dU (1)

    The temperature is defined in terms of beta by:

    beta = 1/(kT)

    The derivative in (1) is at constant volume and constant number of particles.

    If we differentiate w.r.t. ...

    Solution Summary

    A detailed solution is given. The expert examines chemical potential as a function of pressure.

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