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(C) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$.Since density $\rho = \frac{M}{V}$ and for an ideal gas $PV

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$A$ straight line parallel to the pressure axis

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(C) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$.Since density $\rho = \frac{M}{V}$ and for an ideal gas $PV = nRT$,we have $\frac{P}{\rho} = \frac{RT}{M}$.Substituting this into the speed formula,we get $v = \sqrt{\frac{\gamma RT}{M}}$.At a constant temperature $T$,the speed of sound $v$ depends only on the gas properties $(\gamma, M)$ and temperature $T$.Therefore,the speed of sound is independent of pressure $P$.Thus,the graph of speed versus pressure is a straight line parallel to the pressure axis.

What will be the shape of the graph of the speed of sound in air versus pressure at a constant temperature?

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