Home
Class 11
PHYSICS
A Carnot heat engine absorbs 600J of hea...

A Carnot heat engine absorbs 600J of heat from source of temperature 800K and rejects 300J of heat to the sink. Calculate efficiency and temperature of the sink.

Text Solution

Verified by Experts

`Q_(1)=600, T_(1)=800K, Q_(2)=300J, eta=?`
Using `(Q_(1))/(Q_(2))=(T_(1))/(T_(2))`
we ge4t, `T_(2)=(Q_(2))/(Q_(1)).T_(1)=(300)/(600)xx800K`
`:. T_(2)=400K`
By using `eta=1-(T_(2))/(T_(1))` we get,
`eta=1-(400)/(800) =0.5`
i.e., efficiency of Carnot.s heat engine is `50%`.
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|6 Videos
  • THERMAL PROPERTIES OF MATTER

    SUBHASH PUBLICATION|Exercise FOUR MARKS QUESTIONS AND ANSWERS|22 Videos
  • UNITS AND MEASUREMENTS

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|13 Videos

Similar Questions

Explore conceptually related problems

A Carnot engine takes 300 calories of heat from a source at 500 K and rejects 150 calories of heat to the sink. The temperature of the sink is

The working substance in a Carnot's heat engine absorbs 5xx10^(6)J of heat from the source and reject 2xx10^(6)J of heat of the sink. Calculate the (i) heat converted into work and (ii) efficiency of the engine.

The efficiency of a Carbot's heat engine is 0.25 . If on reducing the temperature of the sink by 50^(@)C , the efficiency increase, 0.35 , then calculate the temperature of the source and sink.

The efficiency of carnot heat engine is 25%. When the temperature of the source alone is raised by 100K, the efficiency becomes 50%. Find the temperature of the source and the sink.

The efficiency of Carnot's heat engine is 0.5 when the temperature of the source is T_(1) and that of sink is T_(2) . The efficiency of another Carnot's heat engine is also 0.5 Then temperature of source and sink of the second engine are respectively

What is the source temperature of the Carnot engine required to get 70% efficiency? Given sink temperature = 27^(@)C

SUBHASH PUBLICATION-THERMODYNAMICS-NUMERICALS WITH SOLUTIONS
  1. A steel tape 1 m long is correctly cailbrated for temperature of 27.0^...

    Text Solution

    |

  2. A hole is drilled in a copper sheet. The diameter of the hole is 4.24c...

    Text Solution

    |

  3. A brass wire 1.8 m long at 27^(@)C is held taut with a little tension ...

    Text Solution

    |

  4. A 10 kW drilling machine is used to drill a bore in a small aluminium ...

    Text Solution

    |

  5. A copper block of mass 2.5 kg is heated in a furance to temperature of...

    Text Solution

    |

  6. A geyser heats water flowing at the rate of 3.0 litres per minute from...

    Text Solution

    |

  7. What amount of heat must be supplied to 2.0xx10^(-2)kg of N(2) (at roo...

    Text Solution

    |

  8. A tyre pumped at a pressure of 3.375 atm and at 27^(@)C suddenly burst...

    Text Solution

    |

  9. The volume of 1 kg water is reduced by 91cm^(3) on melting. Calculate ...

    Text Solution

    |

  10. A gas expands from 75 litre to 125 litre at a constant pressure of 4 a...

    Text Solution

    |

  11. Calculate the amount of work done in taking the gas from the state (i)...

    Text Solution

    |

  12. 1g of water at atmospheric pressure and at 100^(@)C, 1671 cm^(3) of w...

    Text Solution

    |

  13. The efficiency of a Carbot's heat engine is 0.25. If on reducing the t...

    Text Solution

    |

  14. The volume of N(2) gas increases from 1 cm^(3) "to" 100 cm^(3) at ...

    Text Solution

    |

  15. The ratio of specific heats of a gas in 1.40. There are 200 moles of g...

    Text Solution

    |

  16. The working substance in a Carnot's heat engine absorbs 5xx10^(6)J of...

    Text Solution

    |

  17. Caclulate the change in entropy of a 1000 kg of water converted into s...

    Text Solution

    |

  18. Under an increase of pressure of atmosphere, the volume of 1m^(3) of i...

    Text Solution

    |

  19. A refrigerator is driven by a 1HP motor having an efficiency of 80%. T...

    Text Solution

    |

  20. A Carnot heat engine absorbs 600J of heat from source of temperature 8...

    Text Solution

    |