Calculating Heat Exhaust from a Heat Engine

AI Thread Summary
A heat engine operating between 40°C and 380°C has an efficiency of 60% of the Carnot efficiency, calculated to be 0.312. The question requires determining the rate of heat exhaust, not just the efficiency. Using the formula for efficiency, the heat exhaust rate is found to be 41.3 kJ/s when the engine absorbs heat at a rate of 60 kW. This calculation confirms that the exhaust rate is reasonable and aligns with the efficiency determined. The final exhaust rate of 41.3 kJ/s is accurate.
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I'm not sure if I'm interpreting this question correctly

A heat engine operated between 40C and 380C. Being a real engine, it efficiency is only 60% of that theoretically possible for a Carnot engine at these temperatures. If it absorbs heat at a rate of 60kW at what rate does it exhaust heat?

So should I be finding the ideal (Carnot engine) and then taking 60% of that?

ideal = 1-Tl/Th = 1- (313K/653K) = 0.52

so then I figured it runs at 60% of ideal so e should be 0.312

Is this right or is e just 60% ??
 
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You are almost there. You did not answer what the question asked of you, it said what rate does it exhaust heat, not the efficiency.
 
If e is 0.312

then 0.312 = (Qh-Ql)/Qh
0.312 = (60 kJ/s - Ql)/60 kj/s

Ql = 41.3 kj/s So it exhausts at a rate of 41.3 kj/s

Does this look right?
 
seems reasonable.
 
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