An aircraft is flying at an altitude where the ambient pressure is \(0.9\ \text{kPa}\) and the density is \(1226\ \text{kg/m}^3\). Calculate the velocity of sound when adiabatic index is \(1.226\).
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The speed of sound in a gas is
\[
\boxed{
a=\sqrt{\frac{\gamma P}{\rho}}.
}
\]
Higher pressure increases the speed of sound, while higher density decreases it.