According to Newton's formula and Laplace's correction, the speed of sound in an ideal gas is given

Question

According to Newton's formula and Laplace's correction, the speed of sound in an ideal gas is given by $v = \sqrt{\gamma P / \rho}$. Which of the following is true for the speed of sound in air?

Professor PC Thomas Classes · Answer

At a constant temperature, density is proportional to pressure ($\rho \propto P$). Therefore, the ratio $P/\rho$ remains constant, making the speed of sound independent of pressure.