Laplace corrected Newton's calculation of sound speed in a gas by treating the rapid compressions and rarefactions as adiabatic. Which expression results?
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Question

Laplace corrected Newton's calculation of sound speed in a gas by treating the rapid compressions and rarefactions as adiabatic. Which expression results?

G1 Physics · Accepted Answer

For an adiabatic change of an ideal gas, B = γP. Hence the speed of sound is v = √(B/ρ) = √(γP/ρ). Compared with Newton's value, v = √γ vₙ. Correct option: B.