Calculating Heat Exhaust from a Heat Engine

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Homework Help Overview

The discussion revolves around a heat engine operating between two temperatures, specifically focusing on calculating the rate at which it exhausts heat given its efficiency and heat absorption rate.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the efficiency of the engine and the heat exhaust rate, questioning whether to calculate the ideal efficiency first and then apply the actual efficiency. There is also a discussion on interpreting the efficiency value and its application in the calculations.

Discussion Status

Some participants have provided calculations and feedback on the approach taken, with one participant confirming the reasonableness of the calculations presented. However, there is no explicit consensus on the correctness of the final exhaust heat rate.

Contextual Notes

Participants are working within the constraints of a real engine's efficiency compared to the theoretical Carnot efficiency, and there is an emphasis on ensuring the calculations align with the question's requirements.

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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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