At what temperature will the speed of sound in air be double of its speed at 57oC?


Correct option is



The speed of sound in a gas is given by  


Where T is absolute temperature of the gas, and M is molecular weight of the gas. Hence for a given gas  


Where k is constant for the gas

Suppose, the speed of sound in air at 57oC is v, and it becomes 2v at temperature t. Then   



From these eq. we have




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The velocity of sound is the greatest is


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At normal temperature and pressure the speed of sound in air is 332 m/s. What will be the speed of sound in hydrogen (i) at normal temperature and pressure, (ii) at 546oC temperature and 3 atmospheric pressure? (Air is 16 times heavier than hydrogen).


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Find out the ratio of the velocity of sound in helium and in nitrogen gases at 300 K temperature. Molecular weights of helium and nitrogen are 4 and 28 respectively.


At what temperature the speed of sound in oxygen will be same as that in nitrogen at 14oC? The molecular weights of oxygen and nitrogen are 32 and 28 respectively.