1.

Find the temperature at which the velocity of sound in air will be 1.5 times its velocity at 0 °C

Answer»

Given: \(\frac{p}{p_0}\) = 1.5, T0 = 0 °C = 273 K

To find: Temperature (T)

Formula: \(\frac{v}{v_0}=\sqrt{\frac{T}{T_0}}\)

Calculation: From formula,

\(\frac{T}{T_0}=(\frac{v}{v_0})^2\)

∴ T = T0 \((\frac{v}{v_0})^2\)

∴ T = 273 (1.5)2 = 614.25 K = 341.25 °C



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