Isothermal sound speed ( $a_{i}$ )

The isothermal sound speed is

a_{i}^{2} = (\partial p / \partial ρ)_{T}

. For an ideal gas it is

a_{i}^{2} = p / ρ = R T / μ

.

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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 317 / 4 / Solution

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