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

2
by anudeepd2

2015-03-30T09:21:23+05:30

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2015-04-02T03:17:32+05:30

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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

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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.