MSE 308 Problem Set 5 Solutions

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  • 7/30/2019 MSE 308 Problem Set 5 Solutions

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

    Problem Set 5 Solutions

    1. Develop a state function for pressure for a system in which changes in Helmholtz freeenergy and temperature. Simplify your answer to receive full credit.

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

    2. Develop a state function for Gibbs free energy for a system that undergoes a change involume and entropy. Simplify your answer to receive full credit.

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

    3. Compute the change in internal energy when 12 liters of argon gas at 273 K and 1 atm iscompressed to 6 liters with the final pressure is equal to 10 atm. Solve this problem in

    two different ways:

    a. Apply the general procedure to evaluate U= U(P,V) and integrate from initial tofinal (P,V).

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

  • 7/30/2019 MSE 308 Problem Set 5 Solutions

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

    b. Use the information to compute the final temperature of the gas and apply thegeneral relation U= CvT.

    72 atm L x()

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

    4. Evaluate the partial derivative:S

    H

    G

    in terms of experimental variables.

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    MSE 308 Dept. of Materials Science & Engineering

    Thermodynamics of Materials Spring 2005/Bill Knowlton

    5. Derive the relationship that describes the dependence of Helmholtz free energy onentropy and temperature.