The equation of state of a gas is given as p(V - nb) = nRt where b = 5x10^-2 dm^

Question

The equation of state of a gas is given as p(V - nb) = nRt where b = 5x10^-2 dm^3/mole and n the number of moles. a) Make a PV plot showing a sequence of isotherms at different T. You do not need to give a scale but indicate the location along the V axis where V = nb. If you think there is a critical point show k in the plot. Can you attach a physical meaning to the parameter b? b) Find the compression factor Z(p) and make a plot of Z versus p. What is the second virial coefficient B'? Estimate the pressure P so that for pressures in excess of P, the ideal gas law is seriously in error at room temperature. c) What are the thermal expansion coefficient alpha and the isothermal compressibility K of the gas at room temperature? Compare with the ideal gas case and comment.

Explanation / Answer

b) The combination of all the three equations of gas is called virial equation of state. It is given as:

Z= PVm/RT = 1 + B (1/Vm) + C (1/Vm2) + D (1/Vm3) +

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