Home
Class 12
PHYSICS
Two Carnot engines A and B are operated ...

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 efficiencies of the two engines are equal?

A

`(T_1 + T_2)/2`

B

`(T_1-T_2)/2`

C

`T_1T_2`

D

`sqrt(T_1T_2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -B) (Objective Type Questions)|23 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH INSTITUTE|Exercise Assignment (Section-J) Akash Challengers Questions|7 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

Two carnot engines A and B are operated in series. The first one A receives heat at 900K and rejects it to a reservoir at T K . The second engine B receives the heat rejected by the first engine and rejects it to a heat reservoir at 400K . Calculate the value of T , when the efficiency ot two engines is the same.

Two Carnot engines A and B are operated is succession. The first one A receives heat from a source at T_(1)=800K and rejects to a sink at T_(2)K . The second engine B receives hence rejected by the first engine and rejects the another sink at T_(3) =300K. If the efficiencies of two engines are equal, then the value of T_(2) is

Two carnot engines A and B are operated in series .Engine A receives heat from a reservoier at 600 K and rejectrs heat to a reservoir at temperatures T. Engine B receives heat rejected by engine A and in turn rejects it to a reservoir at 100 K .If the efficiencies of the two engines A and B are represented by eta_(A) and eta_(B) repectively then what is the value of (eta_(B))/(eta_(A)) ?

Two carnot engines A and B are operates in series. The first one A receives heat at 800 K and rejects to a reservoir at temperature TK. The second engine B revives the heat rejected to a heat reservoir at 300 K. calculate the temperature TK for the following cases. (i) When the outputs of the two engines are equal. (ii) When the efficiencies of the two engines are equal.

Two Camot engines A and B are operated in series. The first one, A , receives heat at T_(1)(=600 K) and rejects to a reservoir at temperature T_(2) . The second engine B receives heat rejected by the first engine and, in turn, rejects to a heat reservoir at T_(3)(=400K). Calculate the temperature T_(2) if the work outputs of the two engines are equal :

Two Carnot engines A and B operate in series such hat engine A absorbs heat at T_(1) and rejects heat to a sink at temperature T. Engine B absorbs half of the heat rejected by Engine A and rejects heat to the sink at T_(3) . When workdone in both the cases is equal, to value of T is :

Two Carnot engines are operated in succession. The first engine receives heat from a source at T=800K and rejects to sink at T_(2)K . The second engine receives heat rejected by the first engine and rejects to another sink at T_(3)= 300K . If work outputs of the two engines are equal, then find the value of T_(2) .

Heat engine rejects some heat to the sink. This heat

AAKASH INSTITUTE-THERMODYNAMICS-ASSIGNMENT (SECTION -C) (Previous Year Questions)
  1. The efficiency of a Carnot engine operating between temperatures of 10...

    Text Solution

    |

  2. We consider a thermodynamic system. If DeltaU represents the increase ...

    Text Solution

    |

  3. If the ratio of specific heat of a gas of constant pressure to that at...

    Text Solution

    |

  4. An ideal gas at 27^(@)C is compressed adiabatically to 8//27 of its or...

    Text Solution

    |

  5. Two Carnot engines A and B are operated in series. The engine A receiv...

    Text Solution

    |

  6. The (W/Q) fo a Carnot engine is 1/6. Now the temperature of sink is re...

    Text Solution

    |

  7. A scientist says that the efficiency of his heat engine which operates...

    Text Solution

    |

  8. The efficiency of carnot engine is 50% and temperature of sink is 500K...

    Text Solution

    |

  9. An ideal gas heat engine operates in a Carnot cycle between 27^(@)C an...

    Text Solution

    |

  10. One mole of an ideal gas at an initial temperature true of TK does 6R ...

    Text Solution

    |

  11. The amount of heat energy required to raise the temperature of 1 g of ...

    Text Solution

    |

  12. Which of the following relations does not give the equation of an adia...

    Text Solution

    |

  13. According to C.E van der Waal, the interatomic potential varies with t...

    Text Solution

    |

  14. A gas in a vessel is at the pressure P(0). If the masses of all the mo...

    Text Solution

    |

  15. The mean free path of collision of gas melecules varies with its diame...

    Text Solution

    |

  16. At 0 K, which of the following properties of a gas will be zero ?

    Text Solution

    |

  17. Write the units of van der Waals' constant 'a' and 'b'.

    Text Solution

    |

  18. The degrees of freedom of a triatomic gas is

    Text Solution

    |

  19. To find out degree of freedom, the correct expression is:

    Text Solution

    |

  20. The equation of state for 5 g of oxygen at a pressure P and temperatur...

    Text Solution

    |