A Carnot engine whose low temperature reservoir is at $$7oC$$ has an efficiency of $$50$$%. It is desired to increase the efficiency to $$70$$%.. By how many degrees should the temperature of the high temperature reservoir be increased

Question

A Carnot engine whose low temperature reservoir is at $$7oC$$ has an efficiency of $$50$$%. It is desired to increase the efficiency to $$70$$%.. By how many degrees should the temperature of the high temperature reservoir be increased

Infinity Learn · Accepted Answer

Initially η $$=$$ $$T1-T2T1$$  ⇒ $$0.5$$ $$=$$ $$T1-(273+7)T1$$⇒$$12$$ $$=$$ $$T1-280T1$$  ⇒ $$T1$$ $$=$$ $$560$$ KFinalllyη$$1$$' $$=$$ $$T1$$'$$-T2T1$$'  ⇒ $$0.7$$ $$=$$ $$T1$$'$$-(273+7)T1$$'⇒$$T1$$' $$=$$ $$933$$ K∴ Increase in temperature     $$=$$ $$933$$ $$-$$ $$560$$ $$=$$ $$373$$ K ≃ $$380$$ K

A Carnot engine whose low temperature reservoir is at $7^{o}$ C has an efficiency of 50%. It is desired to increase the efficiency to 70%.. By how many degrees should the temperature of the high temperature reservoir be increased

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A Carnot engine whose low temperature reservoir is at 7oC has an efficiency of 50%. It is desired to increase the efficiency to 70%.. By how many degrees should the temperature of the high temperature reservoir be increased

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A Carnot engine whose low temperature reservoir is at $7^{o}$ C has an efficiency of 50%. It is desired to increase the efficiency to 70%.. By how many degrees should the temperature of the high temperature reservoir be increased