Home
Class 12
PHYSICS
Find the loss in the mass of 1 mole of a...

Find the loss in the mass of 1 mole of an ideal monatomic gas kept in a rigid container as it cools down by `10^@C`. The gas constant `R = 8.3 J K ^(-1) mol ^(-1)`.

Text Solution

Verified by Experts

Energy Possessed by a monoatomic gas
` 3 /2 n RdT `
` Now `dT = 10`
` n = 1 mete , R = 8.3J / Mol -K`
`:. E = 3 /2 xx 1 xx 8.3 xx 10`
Loss in mass ` = 1.5 xx 8.6 xx 10 / c^(2) `
` = 124.5 / 9 xx 10^(16) `
` = 13.83 xx 10^(-16) `
` = 1.38 xx 10^(-15) kg ` .
Promotional Banner

Topper's Solved these Questions

  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Exercise|1 Videos
  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Objective 2|6 Videos
  • THE NUCLEOUS

    HC VERMA|Exercise Exercises|53 Videos
  • THERMAL AND CHEMICAL EFFECT OF ELECTRIC CURRENT

    HC VERMA|Exercise Exercises|24 Videos

Similar Questions

Explore conceptually related problems

The total energy of 1 mol of an ideal monatomic gas at 27^(@)C is……. .

Five moles of an ideal monoatomic gas with an initial temperature of 150^@C expand and in the process absorb 1500 J of heat and does 2500 J of work. The final temperature of the gas in .^@C is (ideal gas constant R = 8.314 J K^(-1)mol^(-1))

Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20^(@)C " to " 90^(@)C . Work done by gas is close to: (Gas constant R = 8.31 J/mol-K)

One mole of an ideal gas requires 207 J heat to raise its temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10 K, the heat required will be (R, the gas constant = 8.3 JK^(-1) mol^(-1) ):

Calculate the ratio (C_p / C_v) of oxygen from the following data . Speed of sound in oxygen (= 32g mol^(-1)) and the gas constant (R = 8.3 J K ^(-1) mol^(-1)) .

An ideal monatomic gas undergoes process PV^(1.25) = constant .Then

One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in JK​^(-1)"​ mol​ "^(-1) ​) at constant volume is (R = 8.3 J K​^(-1​) " mol"​^(-1​) )

Calculate the molar specific heat of oxygen gas at constant volume. (R = 8.314 J mol^(-1) K^(-1) )

HC VERMA-THE SPECIAL THEORY OF RELATIVITY-Exercises
  1. According to the station clocks, two babies are born at the same insta...

    Text Solution

    |

  2. Two babies are born in a moving train, one in the compartment adjacent...

    Text Solution

    |

  3. Suppose Swrglok (heaven) is in constant motion at a speed of 0.9999c w...

    Text Solution

    |

  4. If a person lives on the average 100 years in his rest frame, how long...

    Text Solution

    |

  5. An electric bulb, connected to a make and break power supply, switche...

    Text Solution

    |

  6. A person travelling by a car moving at 100 km h^(-1) finds that his wr...

    Text Solution

    |

  7. At what speed the volume of an object shrinks to half its rest value ...

    Text Solution

    |

  8. A particular particle created in a nuclear reactor leaves a 1cm track ...

    Text Solution

    |

  9. By what fraction does the mass of a spring is 200 g at its natural le...

    Text Solution

    |

  10. Find the increase in mass when 1 kg of water is heated from 0^@C to 10...

    Text Solution

    |

  11. Find the loss in the mass of 1 mole of an ideal monatomic gas kept in ...

    Text Solution

    |

  12. By what fraction does the mass of a boy increase when he starts runni...

    Text Solution

    |

  13. A 100 W bulb together with its power supply is suspended from a sensit...

    Text Solution

    |

  14. The energy from the sun reaches just outside the earth's atmoshphere a...

    Text Solution

    |

  15. An elcetron and a positron moving at small speeds collide and annihila...

    Text Solution

    |

  16. Find the mass, the kinetic energy and the momentum of an elactron movi...

    Text Solution

    |

  17. Through what potential difference should an electron be accelerated to...

    Text Solution

    |

  18. Find the speed of an elctron with kinetic energy (a) 1 eV , (b) 10 KeV...

    Text Solution

    |

  19. What is the kinetic energy of an electron in electronvolts with mass e...

    Text Solution

    |

  20. Find the speed at which the kinetic energy of a particle will differ ...

    Text Solution

    |