Question

The thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw is:_____.

Answer 1

The thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw is 66.67%.

It is given that,

Rejected heat at the rate of 20 mw and supplied heat a rate of 60 mw.

It is required to find the thermodynamic efficiency of a heat engine.

What is the thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw?

As we know that

Work Done = Heat Supplied - Heat Rejected

Work Done = 60 mw - 20 mw

Work Done = 40 mw

So the efficiency of heat engine will be:

$\eta=\frac{Work done}{Heat energy supply}$

$\eta=\frac{40}{60}$×$100$

η = $\frac{2}{3}$×$100$

η = 66.67%

Thus, thermodynamic efficiency of a heat engine that rejects heat at a rate of 20 mw when heat is supplied to it at a rate of 60 mw is 66.67%.

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