Home
Class 12
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

Text Solution

Verified by Experts

The correct Answer is:
120 R
Promotional Banner

Topper's Solved these Questions

  • HEAT-2

    MOTION|Exercise EXERCISE-3 (LEVEL-II)|15 Videos
  • HEAT-2

    MOTION|Exercise EXERCISE-4 (LEVEL-I)|34 Videos
  • HEAT-2

    MOTION|Exercise EXERCISE-2 (LEVEL-II)|13 Videos
  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise Exercise - 3 Section-B|19 Videos
  • HYDROSTATIC, FLUID MECHANICS & VISCOSITY

    MOTION|Exercise EXERCISE -3 (SECTION-B) PREVIOUS YEAR PROBLEM|7 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

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.

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).

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.

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 ]

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

MOTION-HEAT-2 -EXERCISE-3 (LEVEL-I)
  1. The temperature of an air bubble while rising from bottom to surface o...

    Text Solution

    |

  2. Two identical containers A and B have frictionaless pistons. They cont...

    Text Solution

    |

  3. Consider a sample of oxygen at 300K. Find the average time taken by a ...

    Text Solution

    |

  4. Find the average magnitude of linear momentum of a helium molecule in ...

    Text Solution

    |

  5. The mean speed of the molecules of a hydrogen sample equals the mean s...

    Text Solution

    |

  6. Equal molar amount of H (2), He having molecular weight of 2 and 4 res...

    Text Solution

    |

  7. Find the ratio of the mean speed of hydrogen molecules to the mean spe...

    Text Solution

    |

  8. 70 calorie of heat is required to raise the temperautre of 2 mole of a...

    Text Solution

    |

  9. The molar specific heat at constant pressure of an ideal gas is (7//2 ...

    Text Solution

    |

  10. If for a gas, (R)/(CV)=0.67, the gas is

    Text Solution

    |

  11. The ratio of specific heats (C(p) and C(v)) for an ideal gas is gamma....

    Text Solution

    |

  12. A monoatomic gas (gamma=5//3) is suddenly compressed to (1//8) of its ...

    Text Solution

    |

  13. In the P - V diagram, the point B and C correspond to temperatures T (...

    Text Solution

    |

  14. A gas undergoes a process in which its pressure P and volume V are rel...

    Text Solution

    |

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

    Text Solution

    |

  16. An ideal gas is compressed at constant pressure of 10^(5)Pa until its ...

    Text Solution

    |

  17. An amount Q of heat is added to a monoatomic ideal gas in a process in...

    Text Solution

    |

  18. An ideal gas is taken through a process in which the pressure and the ...

    Text Solution

    |

  19. An ideal gas (Cp / Cv = gamma) is taken through a process in which the...

    Text Solution

    |

  20. Pressure versus temperature graph of an ideal gas is shown in figure. ...

    Text Solution

    |