The speed of sound, cs, in a perfect gas of molar mass M is related to the ratio of heat capacities γ by cs = (γRT/M)^1/2. Part A: Show that cs = (γp/ρ)^1/2, where ρ is the mass density of the gas. Part B. Calculate the speed of sound in argon at 25 °C.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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physical checmistry (Two parts to this one question) Thank you

 

The speed of sound, cs, in a perfect gas of molar mass M is related to the
ratio of heat capacities γ by cs = (γRT/M)^1/2.

Part A:

Show that cs = (γp/ρ)^1/2, where ρ is the mass density of the gas.

Part B.

Calculate the speed of sound in argon at 25 °C.

 

This Question Has Two parts:

show the relationship (use ideal gas equation!), and calculate speed of sound for argon.

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