Compressed air in a steel cylinder is at a pressure of 1.5atm and a density of 1.80kgm−3. Take γ=1.4 for air.
(i) Calculate the speed of sound in the compressed air. \newline\,(Use 1atm=1.013×105Pa.)
(ii) The air is allowed to expand isothermally until its pressure becomes 1.0atm. Assuming the temperature remains unchanged, determine the new speed of sound in the expanded air.
(iii) Comment briefly on how the change in density affects the speed obtained in part (ii).