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 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

A closed container of volume 0.02m^3 contains a mixture of neon and argon gases, at a temperature of 27^@C and pressure of 1xx10^5Nm^-2 . The total mass of the mixture is 28g. If the molar masses of neon and argon are 20 and 40gmol^-1 respectively, find the masses of the individual gasses in the container assuming them to be ideal (Universal gas constant R=8.314J//mol-K ).

A closed container of volume 0.02m^3 contains a mixture of neon and argon gases, at a temperature of 27^@C and pressure of 1xx10^5Nm^-2 . The total mass of the mixture is 28g . If the molar masses of neon and argon are 20 and 40gmol^-1 respectively, find the masses of the individual gasses in the container assuming them to be ideal (Universal gas constant R=8.314J//mol-K ).

Heart leaks into a vessel, containing one mole of an ideal monoatomic gas at a constant rate of (R )/(4)s^(-1) where R is universal gas constatant. It is observed that the gas expands at a constant rate (dV)/(dt) = (V_(0))/(400("second")) where V_(0) is intial volume. The inital temperature is given by T_(0)=40K . What will be final temperature of gas at time t = 400 s .

The work of 146 kJ is performed in order to compress one kilo mole of a gas adiabatically and in this process the temperature of the gas increases by 7^@C . The gas is (R=8.3ml^-1Jmol^-1K^-1)

Calculate the work required to be done to increase the temperature of 1 mole ideal gas by 30^@C . Expansion of the gas takes place according to the relation V prop T^(2/3) . Take R=8.3 "J mol"^(-1) K^(-1) .

Q cal of heat is required to raise the temperature of 1 mole of a monatomic gas from 20^(@)C to 30^(@)C at constant pressure. The amount of heat required to raise the temperature of 1 mole of diatomic gas form 20^(@)C to 25^(@)C

In Fig., a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. the lower compartment of the container is filled with 2 moles of an ideal monoatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. the heat capacities per mole of an ideal monoatomic gas are C_(upsilon) = (3)/(2) R and C_(P) = (5)/(2) R , and those for an ideal diatomic gas are C_(upsilone) = (5)/(2) R and C_(P) = (7)/(2) R. Consider the partition to be rigidly fixed so that it does not move. when equilibrium is achieved, the final temperature of the gases will be

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 electron 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

    |