Gas X (molar mass ) has a speed of sound of at a certain temperature

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

Gas X (molar mass

M

) has a speed of sound of

500\,\text{m s}^{-1}

at a certain temperature. A mixture is prepared at the same temperature containing 2 mol of X and 3 mol of another gas Y whose molar mass is

4M

. Both gases have the same ratio of specific heats. What is the approximate speed of sound in the mixture? (a)

350\,\text{m s}^{-1}

(b)

320\,\text{m s}^{-1}

(c)

300\,\text{m s}^{-1}

(d)

190\,\text{m s}^{-1}