Question

Asked Apr 23, 2019

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This problem is (9.19) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

Step 1

The equation of the state of a certain gas is given by equation (1), where,

*T *represents temperature of the gas.

*P* represents pressure of the gas.

*ρ* represents molar density of the gas.

*k _{B}* is the isothermal compressibility.

*b* is a positive constant.

Step 2

The compressibility factor is a correction factor used to determine the volume of a real gas. It is the ratio of volumes of a real and ideal gas, and is given as follows:

Step 3

For 1 mol of an ideal gas, the expression for *Videal* is determined from the ideal gas equation as shown:

*Videal = RT/P* &nb...

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