Internal energy of n1moles of hydrogen at temperature T is equal to the internal energy of n2 moles of helium at temperature 2T. Then the ratio n1/n2 is

 The number of independent ways in which a molecule of gas can move is called the degree of freedom. It is an independent physical parameter in the formal description of the state of a physical system.

Solution

We know that

Hydrogen

The degree of freedom is =5

Helium

The degree of freedom is =3

UH=5/2n1R1T

UHe=3/2n2R2T

UH=UHe

5/2n1R1T = 3/2n2R2T

n1 / n2 = 3 x 2 /5

n1 / n2 = 6 /5