Exam 1 Practice Solution - 5.60 Exam Practice Problems 1...

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5.60 Exam Practice Problems 1 Ideal Gas expansion . One mole of CO2 gas is held in a cylinder by a piston subject to an external applied pressure of 100 atm. The temperature is maintained constant at 650°C by thermal contact with a large heat bath at that temperature. (a) The external pressure is decreased in three sudden steps: first to 50 atm, then to 20 atm, then to 1 atm. Assuming CO2 to be an ideal gas, compute the work done in this irreversible expansion. Express the answers in Joules. (b) Compute the work done in a reversible isothermal expansion from 100 atm to 1 atm (again assuming ideal gas behavior). Carnot efficiency. Calculate the Carnot efficiency of a primitive steam engine operating on steam at 100°C and discharging at 60°C. Repeat the calculation for a modern steam turbine that operates with steam at 300°C and discharges at 80°C. Entropy change . Calculate the change in entropy when 50 g of water at 80°C is poured into 100 g of water at 10°C in an insulated vessel given that Cp = 75.5J mole -1 K -1. Adiabatic compression. A sample of 3.00 mol of a diatomic ideal gas at 200 K is compressed reversibly and adiabatically until its temperature reaches 250 K. Given that CV = 27.5J mole -1 K -1 , calculate q, w, Δ U, Δ H, and Δ S.
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