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  • A heat engine operates with the cold reservoir at temperature .T

A heat engine operates with the cold reservoir at temperature \mathrm{324 \mathrm{~K}}.The minimum temperature of the hot reservoir, if the heat engine takes \mathrm{300 \mathrm{~J}} heat from the hot reservoir and delivers \mathrm{180 \mathrm{~J} }heat to the cold reservoir per cycle, is________\mathrm{K }.

Option: 1

540


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{T_{c}=324 \mathrm{~K}}
\mathrm{Q_{H}=300 \mathrm{~J} }
\mathrm{Q_{c}=180 \mathrm{~J}}

By carnot's theorem,
\mathrm{\frac{Q_{H}}{Q_{c}}=\frac{T_{H}}{T_{c}}}
\mathrm{\frac{300}{180}=\frac{T_{H}}{324}}
\mathrm{T_{H}=540 \mathrm{~K}}

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chirag

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