Engineers testing the efficiency of an electric generator

Chapter 21, Problem 21.83

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Engineers testing the efficiency of an electric generator gradually vary the temperature of the hot steam used to power it while leaving the temperature of the cooling water at a constant 20C. They find that the generators efficiency increases at a rate of 3.5 * 10-4 K-1 at steam temperatures near 300C. What is the ratio of the generators efficiency to the efficiency of a Carnot engine?

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