Laplace Correction

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

Q.

The constant $\gamma$ for oxygen as well as for hydrogen is 1.40. If the speed of sound in oxygen is 470 m s${}^{-1}$, what will be the speed in hydrogen at the same temperature and pressure?

1. $1500m{s}^{-1}$

2. $1880m{s}^{-1}$

3. $330m{s}^{-1}$

4. $1000m{s}^{-1}$

Q. Calculate the speed of sound in oxygen from the following data:
Mass of 22.4 litre of oxygen at STP = 32g, $C_V=2.5R$

1. 540 m/s
2. 420 m/s
3. 315 m/s
4. 250 m/s