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w q\,qc The thermal efficiency of the system is given as 5-7 w qc ηcfXgPO q\ 1, q\ 5-8 Since it is assumed that the Carnot cycle is a purely reversible cycle (no irreversibility) this efficiency shown in Equation 5-8 is the maximum efficiency that can be achieved with a given heat source and sink temperature. Since ij and ik are purely functions of j and k respectively, Kelvin proposed a new temperature scale known as Kelvin (K) in order to achieve the following relationship for a reversible heat transfer system. q t5K8 T m 5-9 c q\ c t 5K8 c T \\ Based on the above corollary, the efficiency of a Carnot engine can be rewritten as follows: ηcfXgPO 1 , TcT 5-10 \ Hence, for the particular case of the Carnot cycle, the Clausius theorem can be expressed as: XYZ T \ T c T VδQ q ,q 0 5-11 \c 103PDF Image | OPTIMISING THERMAL ENERGY RECOVERY
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