Home
Class 12
PHYSICS
Certain perfect gas is found to obey PV^...

Certain perfect gas is found to obey `PV^(n)` = constant during adiabatic process.
The volume expansion coefficient at temperature `T` is

A

`(1-n)/(T)`

B

`(1)/(1-n)T`

C

`(n)/(T)`

D

`(1)/(nT)`

Text Solution

Verified by Experts

The correct Answer is:
B

`PV^(n)` = constant & =`muRT implies V prop T^(((1)/(1-n)) implies(DeltaV)/(V) = ((1)/(1-n))(Delta T)/(T)`
`implies` volume expansion coefficient = ` (DeltaV)/(VDeltaT) = (1)/((1-n)T)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -01|65 Videos
  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -02|82 Videos
  • GEOMETRICAL OPTICS

    ALLEN|Exercise subjective|14 Videos
  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos
  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

Certain perfect gas is found to obey the law PV^(3//2) = constant, during adiabatic process. If such a gas at initial temprerature T is adiabatically compressed to half of the initial volume, its final temperature will be

For an ideal gas PT^(11) = constant then volume expansion coefficient is equal to :-

During an adiabatic reversibly expansion of an ideal gas

Coefficient of volume expansion of a gas is:

During an experiment, an ideal gas is found to obey a condition (p^2)/(rho) = "constant" . ( rho = density of the gas). The gas is initially at temperature (T), pressure (p) and density rho . The gas expands such that density changes to rho//2 .

During adiabatic expansion the increase in volume is associated with

During an experiment, an ideal gas is found to obey an additional law p//V^(2) = constant. The gas is initially at a temperature T and volume V . Find the temperature when it expands to a volume 2V .

During adiabatic expansion of an ideal gas :-

During adiabatic expansion of ideal gas, which is correct ?

ALLEN-GEOMETRICAL OPTICS-SOME WORKED OUT EXAMPLES
  1. In an 20 m deep lake, the bottom is at a constant temperature of 4^(@...

    Text Solution

    |

  2. The figure shows two thin rods , one made of aluminium [alpha = 23 xx ...

    Text Solution

    |

  3. Certain perfect gas is found to obey PV^(n) = constant during adiabati...

    Text Solution

    |

  4. figures shows the expansion of a 2m long metal rod with temperature . ...

    Text Solution

    |

  5. The temperature of a body rises by 44^(@)C when a certain amount of he...

    Text Solution

    |

  6. A fine steel wire of length 4m is fixed rigidly in a heavy brass fram...

    Text Solution

    |

  7. 540 g of ice at 0^(@)C is mixed with 540 g of water at 80^(@)C. The fi...

    Text Solution

    |

  8. A refrigerator converts 100 g of water at 25^(@)C into ice at -10^(@)C...

    Text Solution

    |

  9. 5n , n and 5n moles of a monoatomic , diatomic and non-linear polyatom...

    Text Solution

    |

  10. Figure shows the adiabatic curve on log-log scale performed on a ideal...

    Text Solution

    |

  11. Figure demonstrates a polytropic process (i.e.PV^(n) = constant ) for ...

    Text Solution

    |

  12. A vessel contains 14 g (7 moles ) of hydrogen and 96 g (3moles) of oxy...

    Text Solution

    |

  13. Suppose 0.5 moles of an ideal gas undergoes an isothermal expansion as...

    Text Solution

    |

  14. The respective speeds of five molecules are 2,1.5,1.6,1.6 and 1.2 km/s...

    Text Solution

    |

  15. When water is boiled at 2 atm pressure the latent heat of vaporization...

    Text Solution

    |

  16. Given T-p curve for three processes. Work done in process 1, 2 and 3 (...

    Text Solution

    |

  17. Figure shows the variations of the internal energy U With density rho ...

    Text Solution

    |

  18. One mole of an ideal gas undergoes a process whose molar heat capacity...

    Text Solution

    |

  19. An irregular rod of same uniform material as shown in figure is condu...

    Text Solution

    |

  20. A gas undergoes an adiabatic process in which pressure becomes ((8)/(3...

    Text Solution

    |