651_Physics ProblemsTechnical Physics

651_Physics ProblemsTechnical Physics - Chapter 22*P22.56(a...

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Chapter 22 653 *P22.56 (a) The energy put into the engine by the hot reservoir is dQ mcdT hh = . The energy put into the cold reservoir by the engine is dQ mcdT e dQ T T mcdT cc h c h h =− = = F H G I K J L N M M O Q P P 11 1 af . Then −= = = = zz dT T dT T dT T dT T TT T T T T T T c c h h T T T T T T T T c f f h fc h fh c c f h f c f h f ln ln ln ln 2 12 bg (b) The hot reservoir loses energy Qm c T T f di . The cold reservoir gains c T T cf c . Then QW Q hc =+ eng . W mcT T mcT T mc T T T T T T mc T T T T mc T T hf c h c c c c h c eng −− =−−+ + = ej e j 2 2 P22.57 (a) For an isothermal process, Qn R T V V = F H G I K J ln 2 1 Therefore, RT i 1 32 = ln and R T i 3 1 2 = F H G I K J ln For the constant volume processes, QE n R T T ii 2 3 2 3 == int, 2 and n R T T 4 3 2 3 int, 4 The net energy by heat transferred is then QQ Q Q Q
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