Explore BrainMass

Explore BrainMass

    Derive an expression for the compression factor of a gas

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Derive an expression for the compression factor of a gas that obeys the equation of state

    P(V - nb) = nRT

    where b and R are constants. If the pressure and temperature are such that Vm = 10b, what is the numerical value of the compression factor?

    Extra Info.

    As a measure of the deviation from ideality of the behavior of a real gas, we define the compression factor Z of a gas as:

    Z(P,T) = PVm/RT

    Do not confuse the compressibility factor Z with the isothermal compressibility K. Since Vm is a function of T and P, Z is a function of T and P. For an ideal Z = 1 for all temperatures and pressures. When Z < 1 the gas exerts a lower pressure than an ideal gas would. At high presures, P of a gas can easily be 2 or 3 times larger or smaller than P ideal. IDeal gas behavior (Z = 1) is approached in the limit of P--> 0 and also in the limit T --> infinity. FOr each of these limits, the gas volume goes to inifinity for a fixed quantity of gas, and the density goes to zero.

    Physical Chemistry, 5th Edition
    Ira N. Levine Pg. 230

    © BrainMass Inc. brainmass.com October 7, 2022, 7:06 pm ad1c9bdddf
    https://brainmass.com/chemistry/physical-chemistry/derive-an-expression-for-the-compression-factor-of-a-gas-59286

    Solution Summary

    It derives an expression for the compression factor of a gas that obeys the equation of state. The solution is detailed and has a '5/5' rating.

    $2.49

    ADVERTISEMENT