If the pressure, temperature and density...

If the pressure, temperature and density of an ideal gas are denoted by P, T and `rho`, respectively, the velocity of sound in the gas is

proportional to `sqrt(P)`, when T is constant

proportional to `sqrt(T)`

proportional to `sqrt(P)`, when `rho` is constant

proportional to T.

Text Solution

Verified by Experts

The correct Answer is:

B, C

Speed of the sound in the gas is given by,
`v = sqrt((lambdaRT)/m) = sqrt((lambdaP)/rho)`
From this we conclude that velocity of sound in gas is proportional to `sqrt(T)` and also proportional to `sqrt(P)`, when `rho` is constant.

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At same temperature and pressure of an ideal gas

the molar specific heat at constant pressure is the same for the all gases

the molar specific heat at constant volume is the same for all gases.

the ratio of the molar specific heats at constant volume and at constant pressure is the same for all gases

the difference between the molar specific heats at constant pressure and at constant volume is the same for all gases

On increasing pressure the velocity of sound in a gas

increases

decreases

remain unchanged,

None of these.

On increasing temperature the velocity of sound in a gas

increases

decreases

remain unchanged

None of these