Question

The velocity of sound in air at 27°C is 340m/s. Calculate the velocity of sound in air at 127°C.

Answer 1

ci / cii = √ Ti / Tii 

340 / cii = √ 300 / 400 = 0.866 

cii = 340 / 0.866 = 392.59 = 393 m/s

Answer 2

Answer:

Velocity of sound in air, v₂ = 737.3 m/s

Explanation:

It is given that,

Temperature, T₁ = 27 °C

Temperature, T₂ = 127 °C

Velocity of sound, v₁ = 340 m/s

Velocity of sound, v₂ = ?

The relationship between the velocity of sound and the temperature is given by :

$v\propto \sqrt{T}$

So, $\dfrac{v_1}{v_2}=\sqrt{\dfrac{T_1}{T_2}}$

$v_2^2=\dfrac{T_2}{T_1}v_1^2$

$v_2^2=\dfrac{127}{27}\times (340)^2$

$v_2=737.3\ m/s$

Hence, this is the required solution.