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

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Question

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

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

                         

SIMILAR QUESTIONS

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