# Find the ratio of initial and final velocity of sound if absolute temperature is doubled.

2
by anudeepd2

2015-04-01T12:05:13+05:30

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Velocity of sound is given as

(Absolute temperature is temperature in Kelvin.)
When temperature is doubled, let say from T to 2T, velocity will be

2015-04-02T00:20:29+05:30

### This Is a Certified Answer

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Velocity of sound  v is proportional to  the absolute temperature T of the ideal gas through which it travels.

v  α  √T
v2 / v1 = √(T2 / T1) = √2
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More formulas:
Actually through an ideal gas, velocity of sound (longitudinal wave):
v = 20.05 √T  m/sec
v = √ [ γ R T / M]
γ = ratio of specific heats of the gas
R = universal gas constant
M = molar mass of the gas