Question

At a pressure of $10$pa the density of a certain gas is $1.4\times {10}^{-3}g/c{m}^3$. The ratio of specific heats for this gas is $1.4$. The velocity of sound in this gas is_______.

Answer 1

$P=10Pa$

$\rho =1.4\times {10}^{-3}g/c{m}^3=1.4kg/m^3$

$\gamma =1.4$

Velocity of sound $V=\sqrt{\frac{\gamma P}{\rho }}$

Or $V=\sqrt{\frac{1.4\times 10}{1.4}}$

$⟹V=3.16m/s$