Home
Class 11
PHYSICS
If three gas molecules have velocity 0.5...

If three gas molecules have velocity 0.5, 1 and `2 km//s` respectively, find the ratio of their root mean square speed and average speed.

Text Solution

AI Generated Solution

To solve the problem of finding the ratio of the root mean square speed (Vrms) and the average speed (Vavg) of three gas molecules with velocities 0.5 km/s, 1 km/s, and 2 km/s, we will follow these steps: ### Step 1: Calculate the Root Mean Square Speed (Vrms) The formula for the root mean square speed is given by: \[ V_{rms} = \sqrt{\frac{V_1^2 + V_2^2 + V_3^2}{3}} ...
Promotional Banner

Topper's Solved these Questions

  • BEHAVIOUR OF PERFECT GAS & KINETIC THEORY

    PRADEEP|Exercise Conceptual Problems|23 Videos
  • BEHAVIOUR OF PERFECT GAS & KINETIC THEORY

    PRADEEP|Exercise Very short Answer questions|35 Videos
  • BEHAVIOUR OF PERFECT GAS & KINETIC THEORY

    PRADEEP|Exercise Curiosity Question|2 Videos
  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

What is the ratio of root mean square speed and most probable speed?

Four molecules of a gas have velocity 2, 4, 6 and 8 kms^(-1) , respectively. The ratio of their root mean velocity and average speed is :

The root mean square speed of gas molecules

If three molecules have velocities 0.5kms^(-1),1kms^(-1)and 2kms^(-1), the ratio of the rms speed and average speed is

If C_(1), C_(2), C_(3) ......are random speed of gas molecules, then average speed C_(av)= (C_(1)+C_(2)+C_(3)+...C_(n))/(n) and root mean square speed of gas molecules, C_(rms) = sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...C_(n)^(2))/(n)) =C . Further , C_(2) prop T or C prop sqrt(T) at 0k, C=0 , ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question: If three molecules have velocities 0.5, 1 and 2km//s , the ratio of rms speed and average speed is

If three molecules have velocities 1kms^(-1),1kms^(-1) and 1kms^(-1) , the ratio of the rms speed and average speed is:-

The speed of four gases molecules are 1 km/s, 3 km/s, 5 km/s and 7 km/s respectively. The difference between the R.M.S. speed and average speed is

Five molecules of a gas have speeds 1,2,3,4 and 5km/sec .The ratio of their rms speed and average speed is

PRADEEP-BEHAVIOUR OF PERFECT GAS & KINETIC THEORY-Solved Examples
  1. A vessel A contains hydrogen and another vessel B whose volume is twic...

    Text Solution

    |

  2. Calculate the rms velocity of oxygen molecules at S.T.P. The molecular...

    Text Solution

    |

  3. If three gas molecules have velocity 0.5, 1 and 2 km//s respectively, ...

    Text Solution

    |

  4. At what temperature is the root mean square velocity of gaseous hydrog...

    Text Solution

    |

  5. Calculate the temperature at which rms velocity of a gas is one third ...

    Text Solution

    |

  6. Five molecules of a gas have speed 2, 4, 6, 8 km//s. Calculate average...

    Text Solution

    |

  7. Calculate the temperature at which rms velocity of a gas is half its v...

    Text Solution

    |

  8. Calculate the total number of degree of freedom for a mole of diatomic...

    Text Solution

    |

  9. Calculate the number of degree of freedom in 15 c.c. Of nitrogen at N....

    Text Solution

    |

  10. The specific heat of argon at constant valume is 0.075 kcal kg^(-1) K^...

    Text Solution

    |

  11. One mole of a monoatomic gas is mixed with three moles of a diatomic g...

    Text Solution

    |

  12. If one mole of a monatomic gas (gamma=5/3) is mixed with one mole of a...

    Text Solution

    |

  13. A gaseous mixture enclosed in a vessel consists of one gram mole of a ...

    Text Solution

    |

  14. Calculate the mean free path and the collsion frequency of air molecul...

    Text Solution

    |

  15. Estimate the mean free path for a water molecule in water vapour at 37...

    Text Solution

    |

  16. Estimate the mean free path of a molecule of air at 27^(@)C and one a...

    Text Solution

    |

  17. How many collisions per second does each molecule of a gas make, when ...

    Text Solution

    |

  18. Estimate the fraction of molecular volume to the actual volume occupie...

    Text Solution

    |

  19. One half mole each of nitrogen, oxygen and carbon dioxide are mixed in...

    Text Solution

    |

  20. Find gamma for a mixture of gases containing n(1) moles of a monoatomi...

    Text Solution

    |