A three-liter tank contains two gram-moles of nitrogen at − 150.8o C. Estimate the tank pressure using the ideal gas equation of state and then using the Virialequation of state truncated after the second term. Taking the second estimate to be correct, calculate the percentage error that results from the use of the ideal gas equation at the system conditions. Data for nitrogen: Tc = 126.2 K, pc = 33.5 atm, and ω = 0.04012.
1. A three-liter tank contains two gram-moles of nitrogen at − 150.8o C. Estimate the tank pressure using the ideal gas equation of state and then using the Virialequation of state truncated after the second term. Taking the second estimate to be correct, calculate the percentage error that results from the use of the ideal gas equation at the system conditions. Data for nitrogen: Tc = 126.2 K, pc = 33.5 atm, and ω = 0.04012.
2. One mole of propane gas is to be expanded from 0.001 m3 to 0.040 m3 while in
contact with a heating bath at 100o C. The expansion is not reversible. The heat
extract from the bath is 600 J. Determine the work for the expansion using the
Van der Waals equation of state.
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