Home
Class 12
PHYSICS
Two kg of a monoatomic gas is at a press...

Two kg of a monoatomic gas is at a pressure of `4 xx 10^(4) N//m^(2)`. The density of the gas is `8 kg//m^(3)`. What is the order of energy of the gas due to its thermal motion ?

A

`10^5 J`

B

`10^4 J`

C

`10^2 J`

D

`10^6 J`

Text Solution

Verified by Experts

The correct Answer is:
B

`U=(f)/(2)nRT= (f)/(2)PV=(f)/(2)xx Pxx (" mass ")/(" density ") implies U= (3)/(2)xx4 xx10^(4)xx(2)/(8)J= 1.5 xx 10^(4)J`.
Promotional Banner

Similar Questions

Explore conceptually related problems

One kg of a diatomic gas is at pressure of 8xx10^4N//m^2 . The density of the gas is 4kg//m^3 . What is the energy of the gas due to its thermal motion?

A balloon inflated with helium gas (density = 0.2 kg//m^(3) ) has a volume of 6 xx 10^(-3) m^(3) . If the density of air is 1.3 kg//m^(3) . What is the buoyant force exerted on the balloon ?

An ideal gas occupies a volume of 2m^(3) at a pressure of 3xx10^(6) p,a the energy of the gas is :

Assertion : A given mass of a gas is subjected to an external pressure of 0.5xx10^(10) N//m^(2) , the bulk modulus of the gas is 0.5xx10^(10) N//m^(2) . The ratio of the density of the gas before and after applying the external pressure is 1 : 1 Reason : Pressure is inversely proportional to density of gas and bulk modulus is inversely proportional to change in volume

At a constant pressure of 10^(4)Nm^(-2) , a gas expands by 0.25m^(3) work done by the gas is

A gas at 300 K has pressure 4 xx 10^(-10) N//m^(2) . IF k = 1.38 xx 10^(-23) J//K , the number of "molecule"// cm^(3) is of the order of

If the density of copper is 8.9xx10^(3)kg//m^(3) , find its relative density.

A gas is compressed from 10 m^3 volume to 4m^3 volume at constant pressure of 50 N//m^(2) . Then the gas is heated by giving it 100 Joules of energy. The internal energy of the gas will