Home
Class 12
PHYSICS
A ideal gas whose adiabatic exponent equ...

A ideal gas whose adiabatic exponent equals `gamma` is expanded so that the amount of heat transferred to the gas is equal to twice of decrease of its internal energy. The equation of the process is `TV^((gamma-1)/k)=` constant (where `T` and `V` are absolute temeprature and volume respectively.

Text Solution

Verified by Experts

The correct Answer is:
3
`dQ=dU+dW`
`dQ=-2dU`
`-3dU=dW`
`-3nCvdT=PdV`
`-3nCvdT=PdV`
`(-3nRdT)/(gamma-1)=((nRT)/V)dV`
From this `TV^((gamma-1)/3)=` constant
So, `K=3`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Objective) (Level-II)|20 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise COMPREHENSIONS ( Comprehension-II)|5 Videos

Similar Questions

Explore conceptually related problems

An ideal gas whose adiabatic exponent (gamma) equal 1.5, expands so that the amount of heat transferred to it is equal to the decrease in its internal energy. Find the T - V equation for the process

An ideal gas of adiabatic exponent gamma is expanded so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Then, the equation of the process in terms of the variables T and V is

One mole of an ideal gas, whose adiabatic exponent equal to gamma , is expanded so that the amount of heat transferred to the gas is equal to the decrease in internal energy. Find the equation of the process in the variables T, V

An ideal gas whose adiabatic exponent equals gamma expands so that the amount of heat transferred to it is equal to the decrease of its internal energy. Find a. the molar heat capacity of the gas, and b. the T -V equation for the process.

An ideal diatomic gas is expanded so that the amount of heat transferred to the gas is equal to the decrease in its internal energy. The process can be represented by the equation TV^(n) = constant, where the value of n is

An ideal diatomic gas is expanded so that the amount of heat transferred to the gas is equal to the decrease in its internal energy. The molar specific heat of the gas in this process is given by C whose value is

An ideal gas (C_(P)//C_(V)=gamma) is expanded so that the amount of heat transferred to the gas the is equal to the decrease in its internal energy . What is the molar heat capacity of gas in this process ?

An ideal gas whose adiabatic exponent equals gamma is expanded so that the amount of heat transferred to the gas is equal to the decrease of its internal energy. Find : (a) the molar heat capacity of the gas in the process , The equation of the process in the variables t, V , ( c) the work performed by one mole of the gas when its volume increases eta times if the initial temperature of the gas is T_0 .

An ideal gas whose adiabatic exponent equals gamma is expanded so that Delta Q+Delta U=0 . Then the equation of the process in the variables T and V is

An ideal gas is expanded so that the amount of heat given is equal to the decrease in internal energy of the gas. The gas undergoes the process PV^((6)/(5))= constant. The gas may be

FIITJEE-TEST PAPERS-PHYSICS
  1. Initially the switch 'S' is open for a ling time. Now the switch 'S' i...

    Text Solution

    |

  2. An electric kettle has two coils of different power. When one coil is ...

    Text Solution

    |

  3. A ideal gas whose adiabatic exponent equals gamma is expanded so that ...

    Text Solution

    |

  4. When steady state is reached, switch S is opened. Then the amount of h...

    Text Solution

    |

  5. A coil of inductance L=5H and resistance R=55Omega is connected in ser...

    Text Solution

    |

  6. A particle having charge 'q' and mass 'm' is projected with velocity (...

    Text Solution

    |

  7. In th circuit the key (K) is closed at t=0. Find the current in ampere...

    Text Solution

    |

  8. A non-uniform magnetic field vecB=B(0)(1+ y/d)(-hatk) is present in th...

    Text Solution

    |

  9. A thin non-conducting hemispherical shell contains a positive charge q...

    Text Solution

    |

  10. A point charge 'q' is placed on the line AH and just outside the cube ...

    Text Solution

    |

  11. Two identical pates P(1) and P(2) of cross sectional area A are separa...

    Text Solution

    |

  12. In the circuit shown epsilon(1) and epsilon(2) are two ideal sources o...

    Text Solution

    |

  13. A circuit contains an ideal battery, three resistors and two ideal amm...

    Text Solution

    |

  14. In an LCR series circuit, the reading of ideal voltmeters V(1) and V(2...

    Text Solution

    |

  15. Three capacitor C(1)=6F, C(2)=3F and C(3)=4F are separately charged wi...

    Text Solution

    |

  16. Two moles of an ideal mono-atomic gas undergoes a thermodynamic proces...

    Text Solution

    |

  17. Two moles of an ideal mono-atomic gas undergoes a thermodynamic proces...

    Text Solution

    |

  18. The electrostatic potential existing in the space is given as V=-((x^(...

    Text Solution

    |

  19. A hollow cube A of very small thickness at temperature T emits radiati...

    Text Solution

    |

  20. A small block of mass 'm' is kept on the smooth inclined plane of angl...

    Text Solution

    |