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Solution
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The maximum theoretical efficiency of this engine is the efficiency of a Carnot engine connected between the same two reservoirs, found from Equation $$e_{\mathrm{C}}=1-\dfrac{T_{c}}{T_{h}}$$ Substitute numerical values: $$e_{C} =1-\dfrac{703.15}{2143.15} $$ $$=0.672=67.2 \%$$ (b) The output power of the engine is found from Equation : $$P=\dfrac{W_{\text {eng }}}{\Delta t}$$ Substitute for $$W_{\text {en }}$$ from Equation : $$P=\dfrac{c\left|Q_{h}\right|}{\Delta t}$$ Substitute numerical values: $$P =\dfrac{(0.42)\left(1.4 \times 10^{5}\right)}{1}$$ $$=88 \times 10^{4} \mathrm{W}$$
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