If for hydrogen `s_p-s_v=a` and oxygen `s_p-s_v=b`, where `s_p` and `s_v` refer to specific heats at constant pressure and at constant volume then

Options

A. `a=b`
B. `a=16b`
C. `b=16a`
D. a and b are not related

Answer

B

Explanation

`C=Ms`
`C:` Molar heat capacity
`s:` Specific heat capacity
`M:` Molecular mass
For `H_2:s_P-s_V=a`
`M_(H_2)(s_P-s_V)=M_(H_2)a`
`C_P-C_V=2a=R` .(i)
for `O_2:s_P-s_V=b`
`M_(O_2)(s_P-s_V)=M_(O_2)b`
`C_P-C_V=32b=R` .(ii)
`2a=32b`
`a=16b`