Chapter 21: Q. 14 (page 594)

What are (a) $W_{out}$ and $Q_{H}$ and (b) the thermal efficiency for the heat engine shown in $FIGURE EX 21.14 ?$

Short Answer

Expert verified

a.The work done by the gas will be numerically equal to the area under the graph is $10 J$ , $Q_{h}$ is $124 J$ .

b.The efficiency for a heat engine is $8 %$ .

Step by step solution

Calculation work done (part a)

The work done by the gas will be quantitatively equal to the area beneath the graph.

Work is,

$W_{out} = \frac{1}{2} \cdot 200 \cdot 10^{3} \cdot 100 \cdot 10^{- 6} = 10 J$

The heat injected into the system will be converted to mechanical energy which is equal to 10 J and heat rejected out which is equal to 114 J.

We can write it in the following way.

$Q_{H} = W_{o u t} + Q_{c}$

$Q_{H} = 10 + 114 = 124 J$

Calculation for efficiency of heat engine(part b)

The efficiency can be calculated as,

$η = \frac{W_{out}}{Q_{H}}$

$η = \frac{10}{124} = 8 %$

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What are (a) $W_{out}$ and $Q_{H}$ and (b) the thermal efficiency for the heat engine shown in $FIGURE EX 21.14 ?$

Short Answer

Step by step solution

Calculation work done (part a)

Calculation for efficiency of heat engine(part b)

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