Home
Class 11
PHYSICS
The temperature T(1) and T(2) of heat re...

The temperature `T_(1) and T_(2)` of heat reservoirs in the ideal carnot engine are `15000^(@)C` and `500^(@)C` respectivley. If `T_(1)` increases by `100^(@)C`, what will be the efficiency of the engine?

A

`62%`

B

`59%`

C

`95%`

D

`100%`

Text Solution

Verified by Experts

The correct Answer is:
B

Here, `T_(1)= 1500^(@)C+100^(@)C= 1600^(@)C`
`=1600+273= 1873K`
`T_(2)= 500^(@)C= 500+273= 773K`
As `eta=1 -(T_(2))/(T_(1))= 1- (773)/(1873)= (1100)/(1873)`
`eta= (1100)/(1873)xx100%= 59%`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    PRADEEP|Exercise Interger Type questions|11 Videos
  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos
  • THERMODYNAMICS

    PRADEEP|Exercise Multiple choice questions (NCERT)|10 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise Assertion- Reason Type questions|20 Videos
  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Assertion-Reason Type Questions|24 Videos

Similar Questions

Explore conceptually related problems

The temperatures T_(1) and T(2) of two heat reservoirs in an ideal carnot engine are 1500^(@)C and 500^(@)C . Which of these (a) increasing T_(1) by 100^(@)C or (b) decreasing T_(2) by 100^(@)C would result in greater improvement of the efficiency of the engine?

An ideal Carnot's engine works between 227^(@)C and 57^(@)C . The efficiency of the engine will be

What percentage T_(1) is of T_(2) for a 10% efficiency of a heat engine?

Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, T_(1) and T_(2) . The temperature of the hot reservoir of the first engine is T_(1) and the temperature of the cold reservoir of the second engine is T_(2) . T is temperature of the sink of first engine which is also the source for the second engine. How is T related to T_(1) and T_(2) , if both the engines perform equal amount of work?

A Carnot engine works between temperature 0^(@)C and 100^(@)C . Calculate its efficiency.

An ideal heat engine working between temperature T_(H) and T_(L) has efficiency eta . If both the temperature are raised by 100 K each the new efficiency of heat engine will be

What per cent T_(1) is of T_(2) for a heat engine whose efficiency is 10%

PRADEEP-THERMODYNAMICS-Multiple choice questions.
  1. An ideal gas under goes a quasi static, reversible process in which it...

    Text Solution

    |

  2. A Carnot engine, having an efficiency of eta=1//10 as heat engine, is ...

    Text Solution

    |

  3. The temperature T(1) and T(2) of heat reservoirs in the ideal carnot e...

    Text Solution

    |

  4. A Carnot engine, having an efficiency of eta=1//10 as heat engine, is ...

    Text Solution

    |

  5. Certain quantity of water cools from 70^(@)C to 60^(@)C in the first 5...

    Text Solution

    |

  6. The cofficient of performance of a refrigerator is 5. If the temperatu...

    Text Solution

    |

  7. A refrigerator works between 4^(@)C and 30^(@)C. It is required to rem...

    Text Solution

    |

  8. A carnot engine working between 300 K and 600 K has work output of 800...

    Text Solution

    |

  9. A Carnot engine takes 3xx10^6cal. of heat from a reservoir at 62^@C, a...

    Text Solution

    |

  10. The door of a running refrigerator inside a room is left open. The cor...

    Text Solution

    |

  11. A cannot engine has efficiency (1)/(6). If temperature of sink is decr...

    Text Solution

    |

  12. An ideal gas heat engine operates in Carnot cycle between 227^(@)C and...

    Text Solution

    |

  13. A Carnot engine whose sinl is at 300K has an efficiency of 40%. By how...

    Text Solution

    |

  14. A cannot engine has efficiency (1)/(6). If temperature of sink is decr...

    Text Solution

    |

  15. A Carnot engine, having an efficiency of eta=1//10 as heat engine, is ...

    Text Solution

    |

  16. A refrigerator with COP= 1//3 release 200 J at heat to a reservoir. Th...

    Text Solution

    |

  17. A Carnot engine operating between temperature T1 and T2 has efficiency...

    Text Solution

    |

  18. An ideal gas heat engine operates in a Carnot cycle between 227^(@)C a...

    Text Solution

    |

  19. A Carnot engine, whose efficiency is 40%, takes in heat from a source ...

    Text Solution

    |

  20. The above p-v diagram represents the thermodynamic cycle of an engine,...

    Text Solution

    |