Chapter 6, Problem 6.76P

1. Kittel Ch3-1. Free energy of a two state system. (a) Find an expression for the free energy as a function of 7 of a system with two states, one at energy 0 and one at energy E. (b) From the free energy, find expressions for the energy and entropy of the system. The entropy is plotted in Figure 3.11.

Five kilogram of steam is initially at 1MPa and y=40% inside the piston cylinder. There is a 50C superheat introduced in steam isopiestically. Find the change of entropy of the steam.

4. Air at a temperature of 500 0C is compressed at a constant pressure of 1.2MPa from a volume of 2 m3 to a volume of 0.4m3 . If the initial internal energy decrease is 4820 KJ, find a. The work done during the reversible compression b. The heat transferred c. The change of enthalpy d. The average specific heat at constant pressure

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4. Two cylinders are filled with liquid water, p = 1000 kg/m3, and connected by a line with a closed valve, as shown in the Fig. A has 100 kg and B has 500 kg of water, their cross-sectional areas are AA = 0.1 m2 and AB = 0.25 m2, and the height h is 1 m. Find the pressure on either side of the valve. The valve is opened, and water flows to an equilibrium. Find the final pressure at the valve location. MH_v1 Po Po 事

Q4. Air initially at 127°C and 1bar is compressed isothermally to 8bar. Find for unit mass of air, a- change of internal energy b- heat transferred C- work done

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An amount of 4000 BTU of heat is transferred from a reservoir at 800 deg. F to a reservoir at 200 deg. F. Find the entropy change of the system.