AT: Calculating Temperature T for Two Carnot Engines in Series

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SUMMARY

This discussion focuses on calculating the temperature T for two Carnot engines operating in series, where the first engine A receives heat at 927°C and the second engine B rejects heat at 27°C. The key equations involve setting the work outputs and efficiencies of both engines equal to each other. Specifically, the efficiency of engine A is defined as (927 - T) / 927, while the efficiency of engine B is (T - 27) / T. Solving these equations will yield the temperature T necessary for both engines to operate under the specified conditions.

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Vanessa
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Homework Statement


Two heat engines operating on Carnot cycles are arranged in series. The first engine A receives heat at 927 deg C and rejects heat to a reservoir at a temperature T. The second engine B receives the heat rejected by the first engine, and in turn rejects heat to a reservoir at 27 deg C.


Homework Equations


Calculate the temperature T, in deg C, for the situation where:
a)The work outputs of the two engines are equal
b)The effeciencies of the two engines are equal


The Attempt at a Solution


I have completely lost the plot with this and really need help!
 
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Vanessa said:

Homework Statement


Two heat engines operating on Carnot cycles are arranged in series. The first engine A receives heat at 927 deg C and rejects heat to a reservoir at a temperature T. The second engine B receives the heat rejected by the first engine, and in turn rejects heat to a reservoir at 27 deg C.


Homework Equations


Calculate the temperature T, in deg C, for the situation where:
a)The work outputs of the two engines are equal
b)The effeciencies of the two engines are equal
What is the efficiency of a Carnot engine? Write out the efficiencies of each engine. For A, it can be expressed in terms of Th (927C) and T. For B, it is expressed in terms of T and Tc (27C).

What is the work generated in terms of the engine's efficiency? (Hint: efficiency is output / input).

AM
 

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