Home
Class 11
CHEMISTRY
The speed of six different molecules in ...

The speed of six different molecules in a gas are `25 m s^(-1), 20 ms^(-1), 30 m s^(-1), 15 m s^(-1), 10 m s^(-1)` and `25 m s^(-1)`. Calculate the average speed and also the root mean square of the gas.

Text Solution

Verified by Experts

Average speed `(U_(av)) = (25+20+30+15+10+25)/(6) = (125)/(6) = 20.8 ms^(-1)`
Root mean square speed `(U_(RMS)) = sqrt(((25^(2)) + (20)^(2) + (30)^(2) + (15)^(2) + (10)^(2) + (25)^(2))/(100)) = sqrt(950) = 21.88 ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER : GASES AND LIQUIDS

    DINESH PUBLICATION|Exercise Exercise Fully Solved|23 Videos

  • STATES OF MATTER : GASES AND LIQUIDS

    DINESH PUBLICATION|Exercise Short Answer Type Questions|45 Videos

  • STATES OF MATTER (SOLID STATE CHEMISTRY)

    DINESH PUBLICATION|Exercise ULTIMATE PREPARATORY PACKAGE|21 Videos

  • STRUCTURE OF ATOM

    DINESH PUBLICATION|Exercise Reason Type Questions|1 Videos

Similar Questions

Explore conceptually related problems

20 m s^(-1) ______ km h^(-1)

An athelete runs 400 m in 20s. Calculate the average speed of the athlete.

At 27^(@)C a gas contains 10 molecules travelling with a speed of 4 ms^(-1) , 20 molecules travelling with a speed of 5 m s^(-1) and 40 molecules travelling with a speed of 8 m s^(-1) . Calculate the average speed, root mean square speed and most probable speed of the gas at 27^(@)C .

A sample of a gas contains 15 molecules with a speed of 3m s^(-1) , 25 molecules with a speed of 5 m s^(-1) and 30 molecules with a speed of 8 m s^(-1) . Calculate root mean square speed of these molecules.

A number of particles each of mass 10 g are in motion. 20% of the particles have speed 10 m s^(-1), 50% of particles speed 30 m s^(-1) and 30% have speed 40 m s^(-1) . Calculate the root mean square speed of the particles.

Convert the following speeds into km h^(-1) . 2 m s^(-1)

Convert the following speeds into km h^(-1) . 10 m s^(-1)

Convert the following speeds into km h^(-1) . 15 m s^(-1)

The R.M.S . Speed of the molecules of a gas of density kg m^(-3) and pressure 1.2xx10^(5)Nm^(-2) is: