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The ratio of densities of oxygen and nit...

The ratio of densities of oxygen and nitrogen is 16`:`14. At what temperature, the speed of sound in oxygen will be equal to its speed in nitrogen at `14^(@)C`?

A

`35^(@)C`

B

`48^(@)C`

C

`65^(@)C`

D

`14^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`v=sqrt((gammaP)/(rho))implies(T_(N_(2)))/(T_(O_(2)))=(rho_(N_(2)))/(rho_(O_(2)))implies (T_(N_(2)))/(273+55)=(14)/(16)=(7)/(8)`
`implies T_(N_(2))=287-273=14^(@)C`.
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