Compare the velocities of sound in hydrogen `(H_(2))` and carbon dioxide `(CO_(2))`. The ratio of specific heats of `H_(2) and CO_(2)` are respectively 1.4 and 1.3 (Molecular weight of `H_(2) and CO_(2)` are 2 and 44)

Options

A. 0.485
B. 4.85
C. 4.5
D. 2.2

Answer

B

Explanation

`v_(1) = sqrt((gamma_(1)P)/(M_(1))) and v_(2) = sqrt((gamma_(2)P)/(M_(2)))`
`(v_(1))/(v_(2)) = sqrt((gamma_(1))/(gamma_(2)) xx (M_(2))/(M_(1))) = sqrt((gamma_(1))/(gamma_(2)) xx (44)/(2)) = sqrt((1.4)/(1.3) xx 22)`
= 4.85