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Questions  

Internal energy of n1 mol of hydrogen at temperature T is equal to the internal energy of n2 mol of helium at temperature 2T. The ratio n1/n2 is

a
35
b
23
c
65
d
37

detailed solution

Correct option is C

Internal energy of n moles of an ideal gas at temperature T is given by    U=f2nRT            (f=degrees of freedom)    U1=U2    f1n1T1=f2n2T2∴n1n2=f2T2f1T1=3×25×1=65Here f2 = degrees of freedom of He = 3and, f1 = degrees of freedom of H2 = 5

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