Home
Class 11
PHYSICS
The mass of 1 litre of helium under a pr...

The mass of `1` litre of helium under a pressure of `2 atm` and at a temperature of `27^(@)C` is

A

`0.16 g`

B

`0.32 g`

C

`0.48 g`

D

`0.65 g`

Text Solution

Verified by Experts

The correct Answer is:
B

`PV = nRT = (M)/(M_(0))RT`
`M`: mass of gas, `M_(0)`: molecular mass of gas
`R = 0.0821" litre atm"//"mole K"`
`M = (M_(0) PV)/(RT) = (4 xx 2 xx 1)/(0.0821 xx (27 + 273)) = 0.32 g`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    CP SINGH|Exercise Exercises|79 Videos
  • HEAT TRANSFER

    CP SINGH|Exercise Exercises|94 Videos
  • LAWS OF THERMODYNAMICS

    CP SINGH|Exercise EXERCISE|131 Videos

Similar Questions

Explore conceptually related problems

A balloon filled with helium gas having pressure 2 atm was kept at room temperature (of 27^(@) C). What will be the resulting temperature if it bursts? (Assume that change occurs reversibly) {:((1),-60^(@)C,(2),-45.65^(@)C),((3),-30.15^(@)C,(4),-10.5^(@)C):}

An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm. And a temperature of 27^(@)C . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm. And its temperature drops to 17^(@)C . Estimate the mass of oxygen taken out of the cylinder. (R = 8.1 J "mole"^(-1) K^(-1) , molecular mass of O_(2) = 32 u) .

One litre of helium gas at a pressure 76 cm . Of Hg and temperature 27^(@)C is heated till its pressure and volume are double. The final temperature attained by the gas is:

A vessel is filled with an ideal gas at a pressure of 20 atm and is a temperature of 27^@ C One - half of the mass is removed from the vessel and the temperature of the remaining gas is increased to 87^@ C . At this temperature, Find the pressure of the gas.

The total number of air molecules in a room of capacity 20 m^(3) at a temperature of 27^(@)C and 1 atm pressure is

A partially inflated balloon contains 500 m^3 of helium at 27^@ C and 1 atm pressure. What is the volume of the helium at an altitude of 18000 ft , where the pressure is 0.5 atm and the temperature is -3^@ C ?

A sample of O_(2) is at a pressure of 1 atm when the volume is 100 ml and its temperature is 27^(@)C . What will be the temperature of the gas if the pressure becomes 2 atm and volume remain 100 ml.

How many moles of SO_(2) will occupy a volume of 10 litre at a pressure of 15 atm and temperature 624 K ? (a = 6.71 atm L^(2) mol^(-2) , b = 0.0564 litre mol^(-1) )

CP SINGH-KINETIC THEORY OF GASES-Exercises
  1. A gas behaves more closely as an ideal gas at

    Text Solution

    |

  2. The mass of 1 litre of helium under a pressure of 2 atm and at a tempe...

    Text Solution

    |

  3. A gas is enclosed in a vessel at a pressure of 2.5 atm. Due to leak in...

    Text Solution

    |

  4. The gas equation PV//T = constant is true for a constant mass of an id...

    Text Solution

    |

  5. The density of a certain mass of a gas at STP is d. If the pressure of...

    Text Solution

    |

  6. The quantity PV//kT represents

    Text Solution

    |

  7. If pressure of a gas contained in a closed vessel is increased by 0.4%...

    Text Solution

    |

  8. The pressure P, volume V and temperature T of a gas in the jqar A and ...

    Text Solution

    |

  9. A vessel contains 1 mole of O2 gas (relative molar mass 32) at a tempe...

    Text Solution

    |

  10. The pressure of a gas kept in an isothermal container is 200Kpa. If ha...

    Text Solution

    |

  11. The gas in a vessel is subjected to a pressure of 20 atmosphere at a t...

    Text Solution

    |

  12. Two identical cylinders at same temp contains hydrogen at 2.5 atm and ...

    Text Solution

    |

  13. A vessel A has volume V and a vessel B has volume 2V. Both contain som...

    Text Solution

    |

  14. A flask is filled with 13 g of an ideal gas at 27^(@)C and its tempera...

    Text Solution

    |

  15. Air is filled in a bottle and it is corked at 35^(@)C. If the cork can...

    Text Solution

    |

  16. Consider the quantity (MkT)/(pV) of an ideal gas where M is the mass o...

    Text Solution

    |

  17. Two ballons are filled, one with pure He gas and other by air, repecti...

    Text Solution

    |

  18. Two different masses m and 3 m of an ideal gas are heated separately i...

    Text Solution

    |

  19. The pressure exterted on the walls of the container by a gas is due to...

    Text Solution

    |

  20. At constant volume, temperature is increased. Then

    Text Solution

    |