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


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Given: T1 = 27 °C = 27 + 273 = 300 K,

v1 = 340 m/s,

T2 = 127 °C = 127 + 273 = 400 K

To find: Velocity (v2)

Formula: \(\frac{v_1}{v_2}=\sqrt{\frac{T_1}{T_2}}\)

Calculation: From formula,

v2 = v1 \(\sqrt{\frac{T_2}{T_1}}\) = 340, \(\sqrt{\frac{400}{300}}\)

= 340 × 1.1547

∴ v2 = 392.6 m/s

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