Home
Class 11
PHYSICS
A container contains hydrogen gas at pre...

A container contains hydrogen gas at pressure P and temperature T. Another identical container contains helium gas at pressure 2P and temperature `T//2`. The ratio of the number of molecules of the two gases is

A

`1:4`

B

`4:1`

C

`1:2`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
a
The ratio of the number of molecules is same as the ratio of the number of moles.
`"Now, "n=(PV)/(RT)`
`(n_(H_(2))/(n_(He)))=(PV)/(RT)xx(R((T)/(2)))/((2P)V)=(1)/(4)rArr n_(H_(2)):n_(He)=1:4`
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2 Marks Questions)|25 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED (IV. Conceptual Questions)|15 Videos

  • GRAVITATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|18 Videos

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27°C. It's density is (Given, R = 8.3 J mol ^ { - 1 } K ^ { - 1 })

In given figure, an adiabatic cylindrical tube of volume 2V_(0) is divided in two equal parts by a frictionless adiabatic separator. An ideal gas in left side of a tube having pressure P_(1) and temperature T_(1) where as in the right side having pressure P_(2) and temperature T_(2).C_(p)//C_(v) =gamma is the same for both the gases. The separator is slid slowly and is released at a position where it can stay in equilibrium. Find (a) the final volumes of the two parts (b) the heat given to the gas in the left part and (c) the final common pressure of the gases,

Two gases are enclosed in a container at constant temperature. One of the gases , which is monoatomic. The ratio of the rms speed of the molecules of the monoatomic gas to that of the molecules of the diatomic gas is .................... .

Two vessels A and B contain the same ideal gas. The volume of B is twice that of A, the pressure in B is twice that in A and the temperature of B is twice that of A. The ratio of the number of gas molecules in A and B is

If the temperature and pressure of a gas is doubled the mean free path of the gas molecules

FULL MARKS-HEAT AND THERMODYNAMICS-ADDITIONAL QUESTIONS SOLVED (I. Choose the correct answer from the following)
  1. Boyles' law is applicable in ……………. .

    Text Solution

    |

  2. A rod, when heated from 0^(@)C to 50^(@)C, expands by 1.0 mm. Another ...

    Text Solution

    |

  3. A container contains hydrogen gas at pressure P and temperature T. Ano...

    Text Solution

    |

  4. Density of water is maximum at the temperature of ………………. .

    Text Solution

    |

  5. The equation of state for 5g of oxygen at a pressure P and tem...

    Text Solution

    |

  6. In the given diagram theta is …………

    Text Solution

    |

  7. In ideal gas is expanding such that PT^(2) = constant. The coefficient...

    Text Solution

    |

  8. A metallic solid sphere is rotating about its diameter as axis of rota...

    Text Solution

    |

  9. The difference between volume and pressure coefficients of an ideal ga...

    Text Solution

    |

  10. Which of the following instruments is used in the measurement of tempe...

    Text Solution

    |

  11. At 0^(@)C, Pressure measured by barometer is 760 mm. What will be the ...

    Text Solution

    |

  12. The temperature on the new scale, corresponding to a temperature of 39...

    Text Solution

    |

  13. Two balloons are filled, one with pure He gas and the other with air. ...

    Text Solution

    |

  14. Pressure of an ideal gas is increased by keeping temperature constant....

    Text Solution

    |

  15. One mole of gas occupies a volume of 200 ml. at 100 mm pressure. What ...

    Text Solution

    |

  16. There is a change in length when a 33000 N tensile force is applied on...

    Text Solution

    |

  17. In the given (V-T) diagram , what is the relation between P(1) "and" P...

    Text Solution

    |

  18. Boiling water is changing into steam.Under this condition the specific...

    Text Solution

    |

  19. The first law of thermodynamics is concerned with the conservation of ...

    Text Solution

    |

  20. The gas law (PV)/(T )=" constant is true for "……………… .

    Text Solution

    |