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## Homework Statement

A heat engine operates in a reversible cycle with the following steps:

(i) An ideal gas characterized by γ = 1.4 expands adiabatically, so that it cools from an initial temperature of 330°C to 30°C.

(ii) It is compressed isothermally until it reaches its initial volume.

(iii) It is then heated at constant volume until it reaches its initial temperature.

Calculate the efficiency of the cycle.

η =

Compare your answer above with the Carnot efficiency that corresponds to these temperatures.

η/η_Carnot =

## Homework Equations

η_Carnot = 1 - T_c/T_h

## The Attempt at a Solution

The answers are 0.30 and 60%. I know how to get the Carnot efficiency, but I'm not sure how to solve for the first answer. How do you find the efficiency with just 2 temperatures and a heat capacity ratio?