Practice It

Use the worked example above to help you solve this problem. A steam engine has a boiler that operates at $5\mathrm{.}15{10}^{2}K.$ The energy from the boiler changes water to steam, which drives the piston. The temperature of the exhaust is that of the outside air, $2\mathrm{.}80{10}^{2}K.$

$($a$)$ What is the engine's efficiency if it's an ideal engine?

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$\%$

$($b$)$ If $3\mathrm{.}50{10}^{3}J$ of energy is supplied from the boiler, find the work done by the engine on its environment.

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Exercise

The highest theoretical efficiency of a gasoline engine, based on the Carnot cycle, is $0\mathrm{.}300$ or $30\mathrm{.}0\%.$

$($a$)$ If this engine expels its gases into the atmosphere, which has a temperature of $2\mathrm{.}95{10}^{2}K,$ what is the temperature in the cylinder immediately after combustion?

$T_h=$

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$($b$)$ If the heat engine absorbs $832J$ of energy from the hot reservoir during each cycle, how much work can it perform in each cycle?

$w_{\text{e}\text{n}\text{g}}=$

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