Question

A heat engine extracts 42. 53 kj from the hot reservior and exhausts 17. 69 kj into the cold reservior. what is the work done?

Answer 1

The answer is  24.84kJ.

We apply the expression for the work done by the heat engine is,

$W=E_{i n}-E_{o u t}$. Putting all given values in the equation we get the final answer.

What is heat engine?

• A heat engine is a machine that uses heat to generate power. It draws heat from a reservoir, uses that heat to produce work, such as move a piston or lift weights, and then releases that heat energy into the sink.
• We are given:The heat input is $E_{i n}=42.53 \mathrm{~kJ}$. The heat output is $E_{o u t}=17.69 \mathrm{~kJ}$.
• The expression for the work done by the heat engine is,$W=E_{i n}-E_{o u t}$
• Substituting the given values in the above expression, we will get$W =42.53 \mathrm{~kJ}-17.69 \mathrm{~kJ}$=24.84kJ.
• Thus, the work done by the heat engine is 24.84kJ.

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