The speed of propagation of a small pressure pulse or sound wave in a fluid, v S
Question:
The speed of propagation of a small pressure pulse or sound wave in a fluid, vS, can be shown to be equal to
where ρ is the molar density.
a. Show that an alternative expression for the sonic velocity is
where γ = CP/CV.
b. Show that γ = 1+R/CV for both the ideal gas and a gas that obeys the Clausius equation of state
and that γ is independent of specific volume for both gases.
c. Develop expressions for vS for both the ideal and the Clausius gases that do not contain any derivatives other than CV and CP.
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Related Book For
Chemical Biochemical And Engineering Thermodynamics
ISBN: 9780470504796
5th Edition
Authors: Stanley I. Sandler
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