Calculate the speed of sound in oxygen from the following data. The mass of 22.4 litre of oxygen at STP `(T = 273 K and p = 1.0 xx 10^5N m^-2)` is 32 g, the molar heat capacity of oxygen at constant volume is `C_V= 2.5 R` and that at constant pressure is `C_p = 3.5 R.`

Answer

A, C

Explanation

Given that: `rho=1.0xx10^-5N/m^2`,
t=273K`
`M=32g=32xx10^-3kg`
`V=22.4litre`
`=22.4xx10^-3m^3`
`C/C_y=r=3.5/2.5=1.4`
`V=(rrho)/rho=(1.4x1.0xx10^-5)/(32/22.4)`
`=310m/s
`(because rho=m/v)`