= One hundred moles of hydrogen gas at 298K are reversibly and isothermally compressed from 30 to 10 L. The van der Waals constants for hydrogen are a = 0.2461 L².atm/mole² and b = 0.02668/mol. In the pressure range of 0 to 1500 atm, the virial equation for hydrogen is PV = RT(1+6.4×10-4P), where P is in atmospheres. (a) Calculate the final pressure and fugacity if (i) Hydrogen behaves as an ideal gas (ii) Hydrogen behaves as a van der Waals gas (iii) Hydrogen behaves according to the virial equation. (b) Calculate the magnitude of the work that must be done on the system to achieve the required change in volume if hydrogen behaves according to the virial equation

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One hundred moles of hydrogen gas at 298K are reversibly and isothermally compressed from
30 to 10 L. The van der Waals constants for hydrogen are a = 0.2461 L².atm/mole² and b =
0.02668/mol. In the pressure range of 0 to 1500 atm, the virial equation for hydrogen is PV =
RT(1+6.4×10-4P), where P is in atmospheres.
(a) Calculate the final pressure and fugacity if (i) Hydrogen behaves as an ideal gas (ii) Hydrogen
behaves as a van der Waals gas (iii) Hydrogen behaves according to the virial equation.
(b) Calculate the magnitude of the work that must be done on the system to achieve the required
change in volume if hydrogen behaves according to the virial equation
Transcribed Image Text:One hundred moles of hydrogen gas at 298K are reversibly and isothermally compressed from 30 to 10 L. The van der Waals constants for hydrogen are a = 0.2461 L².atm/mole² and b = 0.02668/mol. In the pressure range of 0 to 1500 atm, the virial equation for hydrogen is PV = RT(1+6.4×10-4P), where P is in atmospheres. (a) Calculate the final pressure and fugacity if (i) Hydrogen behaves as an ideal gas (ii) Hydrogen behaves as a van der Waals gas (iii) Hydrogen behaves according to the virial equation. (b) Calculate the magnitude of the work that must be done on the system to achieve the required change in volume if hydrogen behaves according to the virial equation
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