(a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 18 cm deep, if you assumed it was a closed tube? (b) How would that change if it was one-third full of soda?
Solution 26PIntroductionIn this problem, we have seen that the bubble is expanding keeping the temperature constant.So the process is isothermal. We have to calculate the final volume of the bubble. Also wehave to explain whether the work was done by the system or on the system.SolutionStep 1According the the problem, the bubble is expanding keeping its temperature constant. Hencethe process is isothermal process.From the Boyle’s law, we know that when temperature and mass of the gas remain constant,the absolute pressure of the gas is inversely proportional to the volume. Mathematically wecan state that 1 P V PV = constantIn other word we can write it as P V = P V 1 1P V 2 2 V = 2 1 1 P2