Problem 27P

If you were to build a pipe organ with open-tube pipes spanning the range of human hearing (20 Hz to 20 kHz), what would be the range of the lengths of pipes required?

Solution 27PIntroductionIn this problem, the initial and final volume and temperature is given. We have to calculatethe final pressure using the ideal gas equation.SolutionStep 1The ideal gas equation isPV = nRT PV = nR TNow if the amount of gas remains constant, then the right hand side of the above equationbecomes constant. Hence we can write that PV T = constantOr in other words we can write that P1V1 P2V2 T1 = T2