Home
Class 11
PHYSICS
A Carnot engine whose efficiency i...

A Carnot engine whose efficiency is 45% takes heat from a source maintained at a temperature of `327^(@)C` .To have an engine of efficiency 60% what must be the intake temperature for the same exhaust (sink) temperature

Text Solution

Verified by Experts

Efficiency of Carnot engine `(eta_(1))=45%=0.45`
Initial intake temperature `(T_(1))=327^(@)C=600K`
New efficiency `(eta_(2))=60%=0.6`
Efficiency of Carnot engine is given by
`eta=1-(T_(2))/(T_(1))`
`T_(1)` is temperature of source , `T_(2)` is temperature of sink
`"1st Case : "T_(2)=(1-eta)T_(1)=(1-0.45)xx600 rArr T_(2)=330K`
`"2nd Case : "(T_(2))/(T_(1))=1-eta`
`T_(1)=(T_(2))/(1-eta)=(330)/(1-0.6)=(330)/(0.4)`
`T_(1)=825K=825-273, T_(1)=552^(@)C`
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (I. Choose the correct answer from the following)|85 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2 Marks Questions)|25 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED (III. Long Answer Questions)|24 Videos

  • GRAVITATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|18 Videos

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

The temperature of sink of Carnot engine is 27°C. Efficiency of engine is 25%. Then find the temperature of source.

Efficiency of a Carnot engine is 50%, when temperature of outlet is 500 K. In order to increase efficiency upto 60% keeping temperature of intake the same, what is temperature of outlet ?

Two carnot engines A and B are operated in series . The engine A receives heat from the source at temperature T_1 and rejects the heat to the sink at temperature T .The second engine B receives the heat at temperature T and rejects to its sink at temperature T_2 . For what value of T the efficiences of the two engines are equal?

The efficiency of Carnot's engine operating between reservoirs, maintained at temperature 27°C and -123°C is

A carnot engine takes heat from a reservoir at 627^(@)C and rejects heat to a sink at 27^(@)C . Its efficiency is

A Carnot engine having an efficiency of eta = (1 / 10) as a heat engine is used as a refrigerators. If the work done on the system is 10 J, what is the amount of energy absorbed from the reservoir at lowest temperature ?

An ideal heat engine working between temperature T_1 and T_2 has an efficiency eta . The new efficiency if both the source and sink temperature are doubled, will be

Explain the heat engine and obtain its efficiency.