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19 Nov 2019
Part (d) please, explain all steps
and 5.291 mol L1. The one involving the VDW's equation was handled in class. Which of these three equations of state is most accurate? Who is the dog? [Hint: this is long (they all need NR's)... Maybe do it last] Briefly describe the law of corresponding states. Consider two gases, CO2 and CO. Assume both gases have VmR 17.5 and TR 3.2. Calculate the reduced pressure for each of these gases. Calculate the pressure temperature and volume of CO2(g) that corresponds to these reduced variables. Finally, calculate, also, the P, T and V values of CO that exists in a corresponding state with this CO2 gas. (NB: VmR corresponds to reduced molar volume) Calculate the work done, w, for 0.500 mol of N2 expanding reversibly from 0.400 L to 0.800 L at 300 K by assuming that N2 is a van der Waals gas (Use the known values of a and b for N2 from the tables). Compare the result with that found if N2 is assumed to be a perfect gas A gas obeys the van der Waals equation of state with Pc-3.040x106 Pa (30.0 atm) and Tc473 K. Calculate the van der Waals constant b for this gas (c) (d) (e) (f) Expand the Dieterici equation in powers of Vm1 in order to cast it into the virial form. Then show that at low densities the Dieterici and van der Waals equations give essentially the same result for P Question Two (a) In an adiabatic reversible expansion of an ideal gas, prove that where Ypm/Cv,m, where the symbols used have their usual meanings (b) A cloud mass moving across the ocean at an altitude of 2000 m encounters a coastal mountain range, and is bounced up to a height of 3500 m in order to pass over the range; and undergoes an adiabatic expansion. The atmospheric pressures at 2000 m and 3500 m are 0.802 and 0.602 atm respectively. If the initial temperature of the cloud is 288 K; calculate its final
Part (d) please, explain all steps
and 5.291 mol L1. The one involving the VDW's equation was handled in class. Which of these three equations of state is most accurate? Who is the dog? [Hint: this is long (they all need NR's)... Maybe do it last] Briefly describe the law of corresponding states. Consider two gases, CO2 and CO. Assume both gases have VmR 17.5 and TR 3.2. Calculate the reduced pressure for each of these gases. Calculate the pressure temperature and volume of CO2(g) that corresponds to these reduced variables. Finally, calculate, also, the P, T and V values of CO that exists in a corresponding state with this CO2 gas. (NB: VmR corresponds to reduced molar volume) Calculate the work done, w, for 0.500 mol of N2 expanding reversibly from 0.400 L to 0.800 L at 300 K by assuming that N2 is a van der Waals gas (Use the known values of a and b for N2 from the tables). Compare the result with that found if N2 is assumed to be a perfect gas A gas obeys the van der Waals equation of state with Pc-3.040x106 Pa (30.0 atm) and Tc473 K. Calculate the van der Waals constant b for this gas (c) (d) (e) (f) Expand the Dieterici equation in powers of Vm1 in order to cast it into the virial form. Then show that at low densities the Dieterici and van der Waals equations give essentially the same result for P Question Two (a) In an adiabatic reversible expansion of an ideal gas, prove that where Ypm/Cv,m, where the symbols used have their usual meanings (b) A cloud mass moving across the ocean at an altitude of 2000 m encounters a coastal mountain range, and is bounced up to a height of 3500 m in order to pass over the range; and undergoes an adiabatic expansion. The atmospheric pressures at 2000 m and 3500 m are 0.802 and 0.602 atm respectively. If the initial temperature of the cloud is 288 K; calculate its final
Collen VonLv2
19 Nov 2019