QUESTION

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The thermodynamic sound speed \( c \) is defined in Sec. 7.1. Prove that:
\[
c=\sqrt{\frac{V C_{P}}{A C_{V K}}}
\]
where \( V \) is molar volume and \( \mathscr{\text { is molar mass. To what does this general result }} \) reduce for: \( (a) \) an ideal gas? \( (b) \) an incompressible liquid? What do these results suggest qualitatively about the speed of sound in liquids relative to gases?


The thermodynamic sound speed $c$ is defined in Sec. 7.1. Prove that: \[ c=\sqrt{\frac{V C_{P}}{M C_{V K}}} \] where $V$ is molar volume and $\mathscr{A}$ is molar mass. To what does this general result reduce for: $(a)$ an ideal gas? (b) an incompressible liquid? What do these results suggest qualitatively about the speed of sound in liquids relative to gases?

Public Answer

1NDGIG The First Answerer