AT: Calculating Temperature T for Two Carnot Engines in Series

[Vanessa]

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!

 

[Andrew Mason]

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