1.

A Carnot engine, whose efficiency is `40%`, takes in heat from a source maintained at a temperature of 500K. It is desired to have an engine of efficiency `60%`. Then, the intake temperature for the same exhaust (sink) temperature must be:A. 1200KB. 750 KC. 600 KD. 800 K

Answer» Correct Answer - B
Efficiency of carnot engien `eta=1-(T_(2))/(T_(1))`
where `T_(1)` is the temperature of the source and `T_(2)` is the temperature of the sink
For the `1^(st)` case
`eta=40%,T_(1)=500K`
`therefore(40)/(100)=1-(T_(2))/(500)`
`(T_(2))/(500)=1-(40)/(100)=(3)/(5)`
`T_(2)=(3)/(5)xx500=300 K`
For the `2^(nd)` case
`eta=60%,T_(2)=300 K`
`therefore (60)/(100)=1-(300)/(T_(1))`
`(300)/(T_(1))=1-(60)/(100)=(2)/(5)`
`t_(1)=(5)/(2)xx300=750 K`


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