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A reversible engine works between three thermal reservoirs-A,B and C.The engine absorbs an equal amount of heat from the thermal reservoirs A & B kept at temperatures Ta and Tb respectively,and rejects heat to the thermal reservoir C kept at temperature Tc.The efficiency of the engine is[tex]\alpha[/tex] times the efficiency of the reversible engine,which works between the two reservoirs A & C.Prove that:Ta/Tb=(2[tex]\alpha[/tex] -1)+2(1-[tex]\alpha[/tex] )Ta/Tc