1.

Supposeapersonwantsto increasethe efficienyof thereversibleheatenginethatisoperatingbetween100^(@)C and 300^(@)C Hehadtwowaysto increasethe efficiency . ( a)Bydecreasing thecoldreservoirtemperaturefrom 100^(@)C to 50^(@)Candkeepingthe hotreservoirtemperatureof the hotreservoirfrom 300^(@)Cto 350^(@)Cbykeepingthecoldreservoirtemperatureconstnatwhichis thesuitablemethod ?

Answer»

Solution :Heat engine operates at initial temperature `=100^(@)C+273=373K`
Final temperature `=300^(@)C+273=573 K`
At MELTING point `=273K`
`"Efficiency "eta=1-(T_(2))/(T_(1))=1-(272)/(573)=0.3491, eta=34.9%`
(a) By DECREASING the cold RESERVOIR, efficiency
`T_(1)=350^(@)C+273=623K, T_(2)=100^(@)C+273=373K`
`eta=1-(T_(2))/(T_(1))=1-(323)/(573)=0.436`
`eta=43.6%`
(B) By increasing the temperature of hot reservoir, efficiency,
`T_(1)=350^(@)C+273=623K, T_(2)=100^(@)C+273=373K`
`eta=1-(T_(2))/(T_(1))=1-(373)/(623)=0.401`
`eta=40.12%`
Method (a) More efficiency than method (b).


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