If the internal energy of n1 moles of Heat temperature 10 T is equal to the internal energy of n2 mole of hydrogen at temperature 6 T. The ratio of n1 / n2 is

Question

If the internal energy of n1 moles of Heat temperature 10 T is equal to the internal energy of n2 mole of hydrogen at temperature 6 T. The ratio of n1 / n2 is (A) 3/5 (B) 2 (C) 1 (D) 5/3

Tardigrade Admin · Accepted Answer

The internal energy of a gas is given by U=n CV T Since, UH e=UH2 So nH e CV TH e=nH2 CV TH2 For He, the value of CV CV=(5/2) R For H, the valve of CV CV-(3/2) R ∴ nH e × (3/2) R × 10 T =nH × (5/2) × 6 T or (nH e/nH)=1 or (n1/n2)=1

Q. If the internal energy of n1​ moles of Heat temperature 10T is equal to the internal energy of n2​ mole of hydrogen at temperature 6T. The ratio of n1​/n2​ is

3/5

2

1

5/3

The internal energy of a gas is given by U=nCV​T Since, UHe​=UH2​​ So nHe​CV​THe​=nH2​​CV​TH2​​ For He, the value of CV​ CV​=25​R For H, the valve of CV​ CV​−23​R ∴nHe​×23​R×10T =nH​×25​×6T or nH​nHe​​=1 or n2​n1​​=1

Q. If the internal energy of $n_{1}$ moles of Heat temperature $10 T$ is equal to the internal energy of $n_{2}$ mole of hydrogen at temperature $6 T$ . The ratio of $n_{1} / n_{2}$ is