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The speed of sound in any medium is a function of_____

(a) P, ρ

(b) P, T

(c) T only

(d) T, ρ

I got this question in homework.

My question is taken from The Basic Normal Shock Equations topic in section Normal Shock Waves of Aerodynamics

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Best answer
The correct answer is (c) T only

Explanation: The speed of sound in any given medium is expressed generally using the equations involving pressure and density (P, ρ). But using the isentropic relations and the gas equation we can simplify it to show that speed of sound in any medium is a function of temperature only a=\(\sqrt {\gamma RT}\).

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