# The speed of sound at 0 degrees celsius is 332 m/s. At what temperature will it be 664 m/s.

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by anudeepd2

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Speed of sound v in an ideal gas : is proportional to the square root of absolute temperature T.

v₂ / v₁ = √(T₂ / T₁)

664 / 332 = √ (T₂ / 273.15)

T₂ = 4 * 273.15 °K = 1092.6°K

T₂ = 1092.6°K - 273.15 = 819.45 °C

===========================

γ = ratio of specific heats

T = absolute temperature

R universal gas constant.

M = molar mass of the gas.

k_B = Boltzmann's constant

m = mass of a molecule of gas.

v₂ / v₁ = √(T₂ / T₁)

664 / 332 = √ (T₂ / 273.15)

T₂ = 4 * 273.15 °K = 1092.6°K

T₂ = 1092.6°K - 273.15 = 819.45 °C

===========================

γ = ratio of specific heats

T = absolute temperature

R universal gas constant.

M = molar mass of the gas.

k_B = Boltzmann's constant

m = mass of a molecule of gas.