﻿ 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. : Kaysons Education

# 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.

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## Question

### Solution

Correct option is

If the molecular weight of a gas be M and its absolute temperature be T, then the speed of sound in that gas is given by

Where R is the universal gas constant.

Suppose the speed of sound in oxygen at temperature t is the same as in nitrogen at 14oC. Then

and    speed of sound in nitrogen at 14o

These two speeds must be equal. Also, the value of γ is same for both gases. Therefore,

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