Home
Class 12
PHYSICS
The average translational energy and the...

The average translational energy and the rms speed of molecules in a sample of oxygen gas at `300K` are `6.21xx10^(-21)J` and `484m//s`, respectively. The corresponding values at `600K` are nearly (assuming ideal gas behaviour)

A

`12.42 xx10^(-21)` J,968 m/s

B

`8.78 xx10^(-21)` J,968 m/s

C

`6.21 xx10^(-21)` J,968 m/s

D

`12.42xx10^(-21)` J,968 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
The formula for average kinetic energy is `( bar(KE))= 3/2 KT`
`:." "((bar(KE))_(600K))/((bar(KE))_(300K)) = 600 /300 " "rArr" "(bar(KE))_(600K) = 2xx6.21 xx10^(-21) J = 12.42 xx10^(-21 )J`
Also the formula for rms velocity is `C_("m s") = sqrt((3KT)/m)`
`:." "((C_("m s"))_(600 K))/((C_("m s"))_(300 K))= sqrt(600/300) " "rArr" "(C_("m s"))_(600 K)= sqrt2 xx484 = 684m//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

The average rms speed of molecules in a sample of oxygen gas at 300 K is 484ms^(-1) ., respectively. The corresponding value at 600 K is nearly (assuming ideal gas behaviour)

The average energy of molecules in a sample of oxygen gas at 300 K are 6.21xx10^(-21)J . The corresponding values at 600 K are

find the rms speed of oxygen molecules in a gas at 300K.

The average translational K.E. of the molecules in a sample of oxygen at 300K is 6xx10^(-20)J . What is the average translational energy at 750 K?

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

Average translational kinetic energy of an ideal gas molecule at 27^(@) C is 3.88 xx 10^(-x) eV . Hence x is :

The average kinetic energy of the molecules of a gas at 27^(@) is 9xx10^(-20)J . What is its average K.E. at 227^(@)C ?

The average translational kinetic energy of nitrogen gas molecule is 0.02eV (1eV - 1.6 xx 10^(-19)J) . Calculate the temperatuire of the gas. Boltzmann constant k = 1.38 xx 10^(-23) J//K .

The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2xx10^(-9) J per molecules is :