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    Physical Chemistry Prob Set

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    Irene Kaye Acero
    This document contains homework problems from a physical chemistry class. It includes: 1) Estimating the critical temperature and molecular radii of a gas using its critical volume and pressure. 2) Expressing the van der Waals equation of state as a virial expansion and determining values of a and b for argon using measured virial coefficients. 3) Finding the relation between virial coefficients B and C in different expansions of the van der Waals equation. 4) Computing the second and third virial coefficients of argon at 300K using experimental data. 5) Calculating temperature, heat, work and internal energy changes for an ideal gas undergoing a thermodynamic cycle.

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    Physical Chemistry Prob Set

    Uploaded by

    Irene Kaye Acero
    89 views1 page
    This document contains homework problems from a physical chemistry class. It includes: 1) Estimating the critical temperature and molecular radii of a gas using its critical volume and pressure. 2) Expressing the van der Waals equation of state as a virial expansion and determining values of a and b for argon using measured virial coefficients. 3) Finding the relation between virial coefficients B and C in different expansions of the van der Waals equation. 4) Computing the second and third virial coefficients of argon at 300K using experimental data. 5) Calculating temperature, heat, work and internal energy changes for an ideal gas undergoing a thermodynamic cycle.

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    This document contains homework problems from a physical chemistry class. It includes: 1) Estimating the critical temperature and molecular radii of a gas using its critical volume and pressure. 2) Expressing the van der Waals equation of state as a virial expansion and determining values of a and b for argon using measured virial coefficients. 3) Finding the relation between virial coefficients B and C in different expansions of the van der Waals equation. 4) Computing the second and third virial coefficients of argon at 300K using experimental data. 5) Calculating temperature, heat, work and internal energy changes for an ideal gas undergoing a thermodynamic cycle.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    89 views1 page

    Physical Chemistry Prob Set

    Uploaded by

    Irene Kaye Acero
    This document contains homework problems from a physical chemistry class. It includes: 1) Estimating the critical temperature and molecular radii of a gas using its critical volume and pressure. 2) Expressing the van der Waals equation of state as a virial expansion and determining values of a and b for argon using measured virial coefficients. 3) Finding the relation between virial coefficients B and C in different expansions of the van der Waals equation. 4) Computing the second and third virial coefficients of argon at 300K using experimental data. 5) Calculating temperature, heat, work and internal energy changes for an ideal gas undergoing a thermodynamic cycle.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 1

    < Homework 1>

    1.12 The critical volume and critical pressure of a certain gas are 160 cm 3 mol1 and 40 atm,
    respectively. Estimate the critical temperature by assuming that the gas obeys the Berthelot
    equation of state. Estimate the radii of the gas molecules on the assumption that they are spheres.

    1.15 Express the van der Waals equation of state as a virial expansion in powers of 1/Vm and
    obtain expressions for B and C in terms of the parameters a and b. The expansion you will need is
    (1 x)1 = 1 + x + x2 +. Measurements on argon gave
    B = 21.7 cm3 mol1 and C = 1200 cm6 mol2 for the virial coefficients at 273 K. What are the
    values of a and b in the corresponding van der Waals equation of state?

    1.18 Equations 1.19a and 1.19b are expansions in p and 1/Vm, respectively. Find the relation
    between B, C and B, C.

    1.24 A substance as elementary and well known as argon still receives research attention.
    Stewart and Jacobsen have published a review of thermodynamic properties of argon (R.B.
    Stewart and RT. Jacobsen, J. Phys. Chem. Ref. Data 18, 639 (1989)) which included the following
    300 K isotherm.

    (a) Compute the second virial coefficient, B, at this temperature. (b) Use nonlinear curve-fitting
    software to compute the third virial coefficient, C, at this temperature.
    2.1 A sample consisting of 1 mol of perfect gas atoms (for which
    ) is taken through the
    cycle shown in Fig. 2.33. (a) Determine the temperature at the points 1, 2, and 3. (b) Calculate q,
    w, U, and H for each step and for the overall cycle. If a numerical answer cannot be obtained
    from the information given, then write +, , 0, or ? as appropriate.

    Figure 2.33

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