In a laboratory experiment the speed of sound in dry air at and is measured to be

PHYSICS · Multi-part · CBSE · Physics · Kinetic Theory · Kinetic Theory

Problem

In a laboratory experiment the speed of sound in dry air at

0\,^{\circ}\text{C}

and

1.01\times10^{5}\,\text{Pa}

is measured to be

332\,\text{m\,s}^{-1}

. The density of air under these conditions is

1.293\,\text{kg\,m}^{-3}

. (i) Using the measured speed and the given density and pressure, calculate the value of

\gamma

that the experiment implies. (ii) The tabulated value of

\gamma

for air is

1.40

. Find the percentage deviation of the experimental

\gamma

from the tabulated value. (iii) Discuss two possible experimental or theoretical reasons that could account for the deviation obtained in part (ii).