Question

Find the speed of sound in pure nitrogen from its bulk modulus and its density.

Answer 1

251.38 m/s

Step-by-step explanation:

Let us assume that the gas is undergoing an isothermal process

So B = Partial pressure of nitrogen

B = 79033.5 Pa

ρ = Density of nitrogen = 1.2506 kg/m³

Speed of sound

`v=\sqrt{(Bulk\ modulus)/(Density)}\\\Rightarrow v=\sqrt{(B)/(\rho)}\\\Rightarrow v=\sqrt{(79033.5)/(1.2506)}\\\Rightarrow v=251.38\ m/s`

Speed of sound through pure nitrogen is 251.38 m/s