3. (20 points) Consider a heat engine that produces power at a rate of 50 Watts with an efficiency of 20%. This engine takes heat from a flame at 1400 K and rejects heat to flowing water in a heat exchanger at 300 K a. What heat input rate is required by this engine? b. What water flow rate is required such that the temperature in the flowing liquid water doesn't increase by more than 10 °C? c. If a Carnot heat engine were operated between the same temperature reservoirs and provided the same power output of 50 W, what heat input rate would be required?
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Additional Problems A Carnot engine has a power of 500 $W$. It operates between heat reservoirs at $100^{\circ} \mathrm{C}$ and $60.0^{\circ} \mathrm{C}$. Calculate (a) the rate of heat input and (b) the rate of exhaust heat output.
A Carnot engine has a power of $500 \mathrm{~W}$. It operates between heat reservoirs at $100^{\circ} \mathrm{C}$ and $60.0^{\circ} \mathrm{C}$. Calculate (a) the rate of heat input and (b) the rate of exhaust heat output.
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