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

# At What Temperature Will The Speed Of Sound In Air Be Double Of Its Speed At 57oC?

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## Question

### Solution

Correct option is

1047oC

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

and

From these eq. we have

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