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If the pressure, temperature and density of an ideal gas are denoted by $p, T$ and $\rho$, respectively, the velocity of sound in the gas is
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proportional to $\sqrt{T}$, proportional to $\sqrt{p}$, when $\rho$ is constant.
$v=\sqrt{\frac{\gamma R T}{M}}=\sqrt{\frac{\gamma P}{\rho}}$
(i) Velocity of sound is proportional to $\sqrt{T}$
$\therefore$
$v \propto \sqrt{T}$
(ii) When $\rho$ is constant, the velocity of sound is proportional to root of pressure $P$
$\therefore$
$$
v \propto \sqrt{P}
$$
(i) Velocity of sound is proportional to $\sqrt{T}$
$\therefore$
$v \propto \sqrt{T}$
(ii) When $\rho$ is constant, the velocity of sound is proportional to root of pressure $P$
$\therefore$
$$
v \propto \sqrt{P}
$$
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