   Chapter 12, Problem 37P

Chapter
Section
Textbook Problem

One of the most efficient engines ever built is a coal-fired steam turbine engine in the Ohio River valley, driving an electric generator as it operates between 1 870°C and 430° C. (a) What is its maximum theoretical efficiency? (b) Its actual efficiency is 42.0%. How much mechanical power does the engine deliver if it absorbs 1.40 × 105 J of energy each second from the hot reservoir.

(a)

To determine
the maximum theoretical efficiency of the engine.

Explanation

Given Info:

The temperature of the hot reservoir is 1870°C .

The temperature of the cold reservoir is 430°C .

The maximum efficiency of an engine that operates between two reservoirs is the Carnot efficiency.

Formula to calculate the Carnot efficiency is,

ec=1TcTh

• Tc is the temperature of cold reservoir
• Th is the temperature of hot reservoir

Substitute 1870°C for

(b)

To determine
the mechanical power that the engine is delivering.

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