Laplace Correction

Q. The velocity of sound in air at a certain temperature is $350m{s}^{-1}$. What will be the velocity of sound in helium at the same temperature? $({\gamma }_{air}=\frac{7}{5})$
[molecular mass of air = 29, molecular mass of helium = 4]

1. 1032 m/s
2. 1100 m/s
3. 925 m/s
4. 1513 m/s

Q.

The planet Jupiter has an atmosphere composed mainly of methane at a temperature of $-{130}^{\circ }C$
Find the velocity of sound on the planet. Assume $\gamma$ of the gas inside Jupiter to be 1.3. $(R=8.36Jmo{l}^{-1}{K}^{-1})$

1. 350

2. 420

3. 311

4. 564

Q.

At what temperature will the speed of sound in hydrogen be the same as in oxygen at 100${}^{\circ }$ C? Molar masses of oxygen and hydrogen are in the ratio 16:1.

1. 273 k

2. 300 k

3. 23 k

4. 50 k