Home
Class 11
PHYSICS
One mole of a gas expands with temperatu...

One mole of a gas expands with temperature T such thaht its volume, V=`KT^(2)`, where K is a constant. If the temperature of the gas changes by `60^(@)C` then the work done by the gas is `120R

A

R ln 60

B

kR In 60

C

60 kR

D

120R

Text Solution

Verified by Experts

The correct Answer is:
D
`V=kT^(2) therefore 2kT dT=dV`
and `P=(RT)/(V)=(RT)/(kT^(2))=(R)/(kT)`
`dW=PdV=2RdT, W=int PdV`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-II(C.W)|25 Videos

  • GRAVITATION

    NARAYNA|Exercise EXERCISE -IV|40 Videos

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - IV|35 Videos

Similar Questions

Explore conceptually related problems

A gas expands with temperature according to the relation V=KT^(2/3) .Work done when the temperature changes by 60K is.

If one mole of gas doubles its volume at temperature T isothermally then work done by the gas is

I mole of an ideal monoatomic gas is expanded till the temperature of the gas is doubled under the process V^(2)T=contant . The initial temperature of the gas is 400K . In terms of R find total work done in the process.

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT= K, where K is a constant. In this process the temperataure of the gas is increased by DeltaT . The amount of heat absorbed by gas is (R is gas constant).

At 27^@C two moles of an ideal monatomic gas occupy a volume V. The gas expands adiabatically to a volume 2V . Calculate (a) final temperature of the gas (b) change in its internal energy and (c) the work done by the gas during the process. [ R=8.31J//mol-K ]

At 27^@C two moles of an ideal monoatomic gas occupy a volume V. The gas expands adiabatically to a volume 2V. Calculate (i) the final temperature of the gas, (ii) change in its internal enegy, and (iii) the work done by the gas during this process.

n moles of an ideal gas undergo a process in which the temperature changes with volume as T=kv^(2) . The work done by the gas as the temperature changes from 7_(0) to 47_(0) is

One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its voume V is doubled. R is the molar gas constant. Work done by the gas during this change is

One mole of an ideal gas expands isothermally to double its volume at 27^(@)C . The work done by the gas is nearly

NARAYNA-KINETIC THEORY OF GASES-LEVEL-III(C.W)
  1. If the ratio of specific heat of a gas of constant pressure to that at...

    Text Solution

    |

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

    Text Solution

    |

  3. One mole of a gas expands with temperature T such thaht its volume, V=...

    Text Solution

    |

  4. A monoatomic ideal gas, initially at temperature T1, is enclosed in a ...

    Text Solution

    |

  5. Three samples of the same gas 'x','y' and 'z', for which the ratio of ...

    Text Solution

    |

  6. n moles of an ideal gas undergo a process in which the temperature cha...

    Text Solution

    |

  7. m' grams of a gas of a molecular weight M is flowing in a isolated tu...

    Text Solution

    |

  8. Heat is supplied to a diatomic gas at constant pressure. The ratio o...

    Text Solution

    |

  9. A given quantity of an ideal gas at pressure P and absolute temperatur...

    Text Solution

    |

  10. An ideal gas is taken through a cyclic thermodynamic process through f...

    Text Solution

    |

  11. During an adibatic compression ,830 J of work is done on 2 moles of a ...

    Text Solution

    |

  12. Consider a spherical shell of radius R at temperature T. The black bod...

    Text Solution

    |

  13. An ideal gas under goes a quasi static, reversible process in which it...

    Text Solution

    |

  14. n' moles of an ideal gas undergoes a process AtoB as shown in the figu...

    Text Solution

    |

  15. One mole of a diatomic ideal gas undergoes a cyclic process ABC as sho...

    Text Solution

    |

  16. Consider an ideal gas confined in an isolated closed chamber. As the g...

    Text Solution

    |

  17. An ideal gas goes through a reversible cycle ararrBrarrcrarrd has the ...

    Text Solution

    |

  18. A Carnot's engine is made to work between 200^(@)C and 0^(@)C first an...

    Text Solution

    |

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

    Text Solution

    |

  20. Efficiency of a Carnot engine is 50% when temperature of outlet is 500...

    Text Solution

    |