Home
Class 11
PHYSICS
The constant gamma of oxygen as well as ...

The constant `gamma` of oxygen as well as for hydrogen is 1.40. If the speed of sound in oxygen is `450 ms^-1,` What wil be the speed in hydrogen at the same temperature and pressure?

Text Solution

Verified by Experts

The speed of sound in a gas is given by `v=sqrt((gammaP)/rho)`. At STP 22.4 litres of oxygen has a mass of 32 whereas the same volume of hydrogen has a mass of 2g. Thus the density of oxygen is 16 times the density of hydrogen at the same temperature and pressure. As gamma is same for both the gases,
`(v(hydrogen))/(v(oxygen))=sqrt((rho(oxygen))/(rho(hydrogen)))`
or, `v(hydrogen)=4v(oxygen)`
`=4xx470ms=1880ms^-1`
Promotional Banner

Similar Questions

Explore conceptually related problems

Constant speed oof a train is 54 kim h ^(-1). What is its speed in unit 'ms ^(-1).?

What will be the shape of speed of sound in air versus pressure at constant temperature ?

4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 "JK"^(-1) "mol"^(-1) . If the speed of sound in this gas at NTP is 952 "ms"^(-1) , then the heat capacity at constant pressure is _____ (R=8.3 "JK"^(1) "mol"^(-1))

Let speed of sound waves in hydrogen gas at room temperature is v_(0) . What will be the speed of sound waves in a room which contains an equimolar mixture of hydrogen and 'He' at same temperature :-

The rms speed of helium gas at 27^(@)C and 1 atm pressure is 900 ms^(-1) . Then the rms speed of helium molecules at temperature 27^(@)C and 2 atm pressure is

(a) Speed of sound in air 332 m/s at NTP. What will the speed of sound in hydrogen at NTP if the density of hydrogen at NTP is (1/16) that of air. (b) Calculate the ratio of the speed of sound in neon to that in water vapour any temperature. [Molecular weight if neon = 2,02 xx 10^(-2) kg//mol and for water vapours = 1.8 xx 10^(-2) kg//mol ]

A sample of oxygen with volume of 500 cc at a pressure of 2 atm is compressed to a volume of 400 cc. What pressure is needed to do this if the temperature is kept constant?