Internal energy of `n_1` moles of hydrogen at temperature 150 K is equal to the in ternal energy of `n_2` moles of helium at temperature 300 K The ratio of `n_1//n_2` is

Options

A. `3//5`
B. 2
C. 1
D. `5//3`

Answer

C

Explanation

`n_1C_(v1)Delta T_1=n_2C_(v2)DeltaT_2`
`implies n_1 xx 3/2 R xx 10 = n_2 xx 5/2 R xx 6 implies(n_1)/(n_2)=1`