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Assignment 7 - at the temperature of T 1 and T 2 T 1> T 2...

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PHYS-232 Heat and Waves - Homework 7 Winter Semester 2008 Due on Tuesday, April 8, 2008 1. Solve problem 4.2.1 of the notes. 2. For a van der Waals gas, what is the work done by: (a) an isochoric process? (b) an isobaric process? (c) an isothermal process? 3. (a) Draw the p-V diagram of the Diesel engine described on pag. 99 of the notes. Be sure to label each segment according to the type of process. (b) Calculate the work W ab and the heat exchanged Q ab associated with each segment. What is the efficiency η of the Diesel engine? Write η in terms of the temperatures T 1 ...T 4 , and in terms of the compression ratios ( r ab = V a /V b ). (c) Calculate the entropy change Δ S in each segment, assuming the processes are reversible. Find the total change in entropy of the system. 4. Solve problem 4.10.2 of the notes. 5. Consider two bodies of constant ( and finite ) heat capacities C 1 and C 2 , initially
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Unformatted text preview: at the temperature of T 1 and T 2 ( T 1 > T 2 ). Imagine an ideal engine working between the two bodies. (a) What is the ²nal equilibrium temperature of the system? (b) What is the ²nal equilibrium temperature if the engine is reversible? (c) What is the maximum work that we can extract from such a system? (d) Imagine now that the system at high temperature can be considered a reservoir of heat. The cold source, however, is not a very good cooling system and therefore it becomes warmer as heat ³ows into it (its heat capacity is again C 2 ). If the hot source is initially at T 1 = 100 o C and the cold source is water at T 2 = 0 o C , calculate the maximum work that can be extracted from this system (the speci²c heat of water is c = 1 cal/gK , and we have 10 6 g of cooling water at our disposal). 1...
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