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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 ? |
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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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