The speed of sound in hydrogen gas at certain temperature is v `(m)/(s)` Find the speed of sound in a gaseous mixture containing 2 moles of oxygen and 1 mole of hydrogen gas, at the same temperature. Assume the gases do no react at the ordinary temperature.

Explanation

For a mixture of non reacting gases,
`(n_1)/(gamma_1-1)+(n_2)/(gamma_2-1)=(n_1+n_2)/(gamma_(mix)-1)`
For given problem
`n_1=2`,`n_2=2`,`gamma_1=(7)/(5)`,`gamma_2=(7)/(5)`,`gamma_(mix)=1.4`.
`M_(mix)=(n_1m_1+n_2m_2)/(n_1+n_2)`
Here, `m_1=32`,`m_2=2`,`M_(mix)=22`.
`V_(mix)=sqrt((gamma_(mix)RT)/(M_(mix)))` and `V_H=sqrt((gamma_(H2)RT)/(M_(H2)))`
gamma`V_(mix)=sqrt((gamma_(mix))/(M_(mix))xx(M_H)/(gammaH))xxV_H=(V)/(sqrt(11))(m)/(s)`