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.
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda097d9e-05ae-4e0c-837f-6b6326e97dc0%2Ff88cd7e5-00d2-40d9-8915-4141ba738de5%2F5n65t1g_processed.png&w=3840&q=75)
Transcribed Image Text: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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