The ratio between the most probable speed of `N_2` at 400 K and Co at 800 K is (molar mass of `N_2 = 28 g mol^(-1)`, molar mass of `CO=28 g mol^(-1)`)

Options

A. `0.75`
B. `0.25`
C. `0.707`
D. `1.414`

Answer

C

Explanation

Most probable speed, `mu = [ (3RT)/(M) ]^(1//2)`
`[mu_(N_2)] = [ (3 (8.314 ) (400))/(28) ]^(1//2) = 18.87`
`[ mu_(co)] = [ (3(8.314 ) (800))/(28)]^(1//2) = 26.69`
`therefore` Required ratio ` = (18.87)/(26.69) = 0.707`