Question

At a pressure of 10pa , the density of a certain gas is 1.4 * 10^-3 g/cm^3. The ratio of specific heats for this gas is 1.4. The velocity of sound in this gas is?

Answer 1

[tex] V_{sound} = \sqrt{ \frac{gamma *Pressure}{density} } V_{sound} = \sqrt{ \frac{1.4*10* 10^{-6} }{ 1.4*10^{-3}* 10^{-3} } } = 3.16 \frac{m}{sec} [/tex]

Answer 2

$P = 10 Pa\\ \rho=1.4 \times 10^{-3}\ g/cm^3=1.4 \times 10^{-3} \times 1000\ kg/m^3 = 1.4\ kg/m^3\\ \gamma=1.4\\ \\V= \sqrt{ \frac{\gamma p}{\rho} } \\ \\ V=\sqrt{ \frac{1.4 \times 10}{1.4} }\ m/s \\ \\ V= \sqrt{10}\ m/s\\ \\ V = 3.16 m/s$

So velocity of sound in this gas is 3.16 m/s.