Home
Class 11
PHYSICS
Find the number of molecules in 1cm^(3)o...

Find the number of molecules in `1cm^(3)`of an ideal gas at `o^(@)`and at a pressure of `10^(-5)mm of mercury.

Text Solution

Verified by Experts

`V= 1 cm^3, T=0^@C,`
` P= (10^-5) mm of Hg `
` n=(PV)/(RT)=(rhogh) xx (V/(RT)) `
` =(13.6 xx 980 xx 10^-6 xx 1)/ (8.31 xx 273)`
`=(5.874) xx (10^13) `
no of molecules`
`=N xx n`
`= 6.023 xx (10^23) xx 5.874 xx (10^13)`
`=(35.384 xx 10^10)`
` = (3.538 xx 10^11)`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    HC VERMA|Exercise Objective 2|7 Videos
  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Exercises|19 Videos
  • LAWS OF THERMODYNAMICS

    HC VERMA|Exercise Short Answer|15 Videos

Similar Questions

Explore conceptually related problems

The number of molecules in 1 cm^(3) of an ideal gas at 0^(@)C and at a pressure of 10^(–5) mm of mercury is –

Calculate the number of molecules in 1" cm"^(3) of an ideal gas at 27^(@)C and a pressure of 10 mm of mercury. Mean kinetic energy of a molecule at 27^(@)C is 4xx10^(-14) erg, the density of mercury is 13.6 gm/c.c.

Calculate the number of molecules in 1 cc of an ideal gas at 27^(@)C a pressure of 10 mm of mercury. Mean kinetic energy of molecule at 27^(@)C is 4 xx 10^(-14) erg, the density of mercury is 13.6 g//cc .

Calculate the number of molecules/ m^(3) in an ideal gas at STP.

Calculate the number of molecules is 2 c.c of the perfect gas at 27^(@)C at a pressure of 10 cm. of mercury. Mean kinetic energy of each molecule at 27^(@)C = 7 xx 10^(-4) erg and acceleration due to gravity = 980 cm s^(-2) .

find the number of molecules of an ideal gas in a volume of 1.000cm^(3) atSTP.

Compute (a) the number of moles and (b) the number of molecules in 1.00 cm of an ideal gas at a pressure of 75.0 Pa and a temperature of 285 K.

The number of molecules in a litre of a gas at temperature of 27^(@)C and a pressure of 10^(6) dyne cm^(-2)

Number of molecules: What is the number of molecules in a diatomic gas present in 1 L flask at 0^(@) C and under a pressure of 7.6xx10^(-19) mm Hg ? Strategy : Express the pressure in atmosphers and use Eq.(1.10) to calculate the number of moles. Using Avoagdro's constant,find the number of molecules.

HC VERMA-KINETIC THEORY OF GASES-Exercises
  1. Calculate the volume of 1 mole of an ideal gas at STP.

    Text Solution

    |

  2. find the number of molecules of an ideal gas in a volume of1.000cm^(3)...

    Text Solution

    |

  3. Find the number of molecules in 1cm^(3)of an ideal gas at o^(@)and at ...

    Text Solution

    |

  4. Caculate the mass of 1cm^(3)of oxygen kept at STP.

    Text Solution

    |

  5. Equal masses of air are sealed in two vessels, one if volume V(0)and t...

    Text Solution

    |

  6. An electric bulb of volume 250cc was sealed during manufacturing at a ...

    Text Solution

    |

  7. A gas cylinder has walls that can bear a maximum pressure of 1.0xx10^(...

    Text Solution

    |

  8. 2g of hydrogen is sealed in a vessel of volume 0.02m^(3)and is maintai...

    Text Solution

    |

  9. The density of an ideal gas is 1.25xx10^(-3)g cm^(-3) at STP. Calculat...

    Text Solution

    |

  10. The temperature and pressure at Simla are 15.0^(@)C and 72.0cm of merc...

    Text Solution

    |

  11. Shows a cylindrical tube with adiabatic walls and fittled with a diath...

    Text Solution

    |

  12. Find the rms speed of hydrogen gas at 300K. Find the temperature at wh...

    Text Solution

    |

  13. A sample of 0.177g of an ideal gas occupies 1000cm^(3)at STP. Caculate...

    Text Solution

    |

  14. The average translational kinetic energy of air molecules is 0.040 eV ...

    Text Solution

    |

  15. Consider a sample fo oxygen at 300K. Find the average time taken by a ...

    Text Solution

    |

  16. Find the average magnitude of linear momentum of a helium molecule in ...

    Text Solution

    |

  17. The mean speed of the molecules of a hydrogen sample equals the mean s...

    Text Solution

    |

  18. At what temperature the mean speed of the molecules of hydrogen gas eq...

    Text Solution

    |

  19. Find the ratio of the mean speed of hydrogen molecules to the mean spe...

    Text Solution

    |

  20. Shows a vessel partitioned by a fixed diathermoc separator. Different ...

    Text Solution

    |