If c is r.m.s. speed of molecules in a gas and v is the speed of sound waves in the gas, show that c/v is constant and independent of temperature for all diatomic gases.

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7 months ago

This is a long answer type question as classified in NCERT Exemplar

we know that rms speed of molecules of a gas

C= 3 p ρ = 3 R T M

 Where M is the molar mass of the gas

Speed of sound wave in gas v= γ p ρ = γ R T M

On dividing above equation we get

c/v = 3 R T M * M γ R T

c/v = 3 γ

where γ = adiabatic constant for diatomic gas

γ = 7 5

c/v=constant

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Physics NCERT Exemplar Solutions Class 11th Chapter Fifteen 2025

Physics NCERT Exemplar Solutions Class 11th Chapter Fifteen 2025

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