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If you were to build a pipe organ with open-tube pipes
Chapter 13, Problem 27P(choose chapter or problem)
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?
Questions & Answers
QUESTION:
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?
ANSWER:
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