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. Show that cs = (γp/ρ) 1/2, where ρ is the mass density of the gas. Calculate the speed of sound in argon at 25 °C.

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. Show that cs = (γp/ρ) 1/2, where ρ is the mass density of the gas. Calculate the speed of sound in argon at 25 °C.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter2: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 2.56E: What are the numerical values of the heat capacities c-v and c-p of a monatomic ideal gas,in units...

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Question

P2D.6 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. Show that cs = (γp/ρ)
1/2, where ρ is
the mass density of the gas. Calculate the speed of sound in argon at 25 °C.

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