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Chapter 3: Q62PP (page 681)

If the proposed plant is built and produces 10 MW but the rate at which waste heat is exhausted to the cold water is 165 MW, what is the plant’s actual efficiency? (a) 5.7% ; (b) 6.1% ; (c) 6.5% ; (d) 16.5%.

Short Answer

Expert verified

The correct option is (a).

Step by step solution

01

Concept of Carnot cycle.

A Carnot cycle is a hypothetical cycle that uses a hypothetical energy source and can be used for both heat engines and refrigerators (in reverse order).

Carnot cycle has operational features that none of the other cycles have and provides the highest potential efficiency of usage.

02

Determination of the correct choice for the plant’s actual efficiency

Consider the given data as below.

The work done,W/t=10MW

The heat of the hot reservoir QH/t=165MW

The efficiency of Carnot engine is given by,

e=WQH

Here, Wis the work done and QHis the heat of the hot reservoir.

Substitute values of W/tand QH/tin the above equation.

e=W/tQH/t

Substitute known values in the above equation.

e=10MW165MW=0.057100%=5.7%

Hence, the actual efficiency of the plant is 5.7%. Thus, option (a) is the correct answer.

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