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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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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