The explanation for which the Van der Waals equation reduced to ideal gas law when density is reduced and the reason for which the pressure and volume would no longer need to be modified in Van der Waals equation.

Question

Consider 1 mole of a van der Waals gas. (i) Derive the expressions for the pressure, pc, temperature, Tc, and volume, Vc, in the critical point of a van der Waals gas in terms of parameters a, b and R. Derive the vdw equation in reduced coordinates p =,= 7, V = V/ (ii) (iii) Find how many times the gas temperature exceeds its critical temperature if the gas pressure is 4 times as high as critical pressure and the volume of gas is equal to twice the critical volume.

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Chapter 20, Problem 44PQ

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The explanation for which the Van der Waals equation reduced to ideal gas law when density is reduced and the reason for which the pressure and volume would no longer need to be modified in Van der Waals equation.

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Consider 1 mole of a van der Waals gas. (i) Derive the expressions for the pressure, pc, temperature, Tc, and volume, Vc, in the critical point of a van der Waals gas in terms of parameters a, b and R. Derive the vdw equation in reduced coordinates p =,= 7, V = V/ (ii) (iii) Find how many times the gas temperature exceeds its critical temperature if the gas pressure is 4 times as high as critical pressure and the volume of gas is equal to twice the critical volume.

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