27 A mixture of diatomic gases is obtained by mixing m1and m2 masses of two gases with velocities of sound - Physics - Electromagnetic Waves

Question

27 A mixture of diatomic gases is obtained by mixing m1and m2
masses of two gases with velocities of sound in them C1 and
C2respectively Determine the velocity of sound in the mixture of
gases --------

Jyoti Pant · Accepted Answer

Suppose the density of first gas=d1then,Velocity of sound in this gasC1=γ Pd1or d1=γPC12Density of sound in second gas=d2Then,C2=γ Pd2Or d2=γPC22Density of mixture of gases=m1+m2V1+V2d=V1d1+V2d2V1+V2=V1γPC12+V2γPC22V1+V2Velocity of sound in mixture,C=γPd=γP[V1γPC12+V2γPC22V1+V2]C=C1C2(V1+V2)V1C22+V2C12

27.A mixture of diatomic gases is obtained by mixing m1and m2 masses of two gases with velocities of sound in them C1 and C2respectively.Determine the velocity of sound in the mixture of gases.--------