Home
Class 11
CHEMISTRY
A chamber contains monoatomic 'He' at ST...

A chamber contains monoatomic 'He' at STP, determine its number density

Text Solution

Verified by Experts

The correct Answer is:
`2.68 xx 10^(25) m^(-3)`

Number density `= (P)/(kT)` (where, k = Boltzmann constant)
`PV = nRT`
`= (n xx N) (R)/(N) T`
`= (n xx N) kT`
`(P)/(kT) = (n xx N)/(V)` = number density
`:.` Number density `= (1.01 xx 10^(5))/(1.38 xx 10^(-23) xx 273) = 2.68 xx 10^(25) m^(-3)`
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER (GASES AND LIQUIDS)

    OP TANDON|Exercise Objective questions|105 Videos
  • STATES OF MATTER (GASES AND LIQUIDS)

    OP TANDON|Exercise Set 2|40 Videos
  • STATES OF MATTER (GASES AND LIQUIDS)

    OP TANDON|Exercise Illustration|30 Videos
  • SOLUTIONS (GENERAL AND COLLIGATIVE PROPERTIES)

    OP TANDON|Exercise Self Assessment|31 Videos
  • STATES OF MATTER (SOLID STATE)

    OP TANDON|Exercise SELF ASSESSMENT Section VI|3 Videos

Similar Questions

Explore conceptually related problems

Solubility of a gas in water is 0.001 m at STP, determine its Henry's law constant.

Mole fraction of a gas in water is 0.001 at STP, determine its Henry' law constant.

A rectangualr box (shown in figure) has a movable and smooth portition which can slide along the length of the box. Both chambers contains 1 mole of monoatomic gas ( gamma=(5)/(3) ) at a pressure walls of box and partition are thermally insulated. Due to heating, gas in left chamber expands until pressure in both chambers become 32P_(0) determine (a) The final temperature of gas in each chamber (b) The work done by the gas in the right chamber.

Name a monoatomic gas. What is its valency ?

A chamber of constant volume contains hydrogen gas. When the chamber is immersed in a bath of melting ice (0^(@)C) the pressure of the gas is 800 torr. What pressure will be indicated when the chamber is brought to 100^(@)C ?

An insulated container containing monoatomic gas of molar mass s is moving with a velocity v_0 . If the container is suddenly stopped, find the change in temperature.

An insulated container containing monoatomic gas of molar mass m is moving with a velocity V_(0) . If the container is suddenly stopped , find the change in temperature .

OP TANDON-STATES OF MATTER (GASES AND LIQUIDS)-Practice Problems
  1. Calculate the kinetic energy of 5 mole of a gas at 27^(@)C in erg and ...

    Text Solution

    |

  2. A glass tumbler containing 243 mL of air at 100 k Pa and 20^(@)C is tu...

    Text Solution

    |

  3. Calculate the rms speed of the molecules of ethane gas of colume 1.5 l...

    Text Solution

    |

  4. The density of a gas at 1.5 atm is 1.52 g L^(-1). Calculate the rms sp...

    Text Solution

    |

  5. At what temperature will the rms speed of hydrogen be the same as that...

    Text Solution

    |

  6. Calculate the average rms and most probable speed of SO(2) molecules a...

    Text Solution

    |

  7. The average velocity of CO(2) at the temperature T(1) Kelvin and the m...

    Text Solution

    |

  8. How many times would the average molecular speed of nitrogen increase ...

    Text Solution

    |

  9. A 4 : 1 molar mixture of He and CH(4) is contained in vessel at 20 per...

    Text Solution

    |

  10. Pure O(2) diffuses through an aperture in 224 second, whereas mixture ...

    Text Solution

    |

  11. 56 g of nitrogen are confined to a 6 litre flask at 37^(@)C. Calculate...

    Text Solution

    |

  12. One mole fo carbon dioxide was found to occupy a volume of 1.32 litre ...

    Text Solution

    |

  13. Calculate the compressibility factor for SO(2) if 1 mole of it occupie...

    Text Solution

    |

  14. The average velocity of gas molecules is 400 m/sec calculate its rms v...

    Text Solution

    |

  15. A chamber contains monoatomic 'He' at STP, determine its number densit...

    Text Solution

    |

  16. Two perfect monoatomic gases at absolute temperature T(1) and T(2) are...

    Text Solution

    |

  17. The speed of ten particles in metre/sec are 0, 1, 2, 3, 3, 4, 4, 5 and...

    Text Solution

    |

  18. Using van der Waals equation, calculate the constant a when 2 mol of a...

    Text Solution

    |

  19. Calculate the pressure excerted by 5 mol of CO(2) in 1 L vessel at 47^...

    Text Solution

    |

  20. An L.P.G. cylinder weight 14.8 kg when empty. When full, it weighs 29 ...

    Text Solution

    |