How Does Helium Affect the Fundamental Frequency of an Organ Pipe?

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The discussion focuses on how the fundamental frequency of an organ pipe changes when filled with helium instead of air. The fundamental frequency in air is given as 275 Hz, and the speed of sound in helium is calculated to be 999 m/s, compared to 344 m/s in air. To find the new frequency, the relationship between the speed of sound, density, and molar mass is emphasized, indicating that density is proportional to molar mass. The original poster seeks guidance on accurately incorporating molar mass into their calculations. Understanding these relationships is crucial for determining the frequency produced by the organ pipe when filled with helium.
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Homework Statement


A certain organ pipe, open at both ends, produces a fundamental frequency of 275 Hz in air.

If the pipe is filled with helium at the same temperature, what fundamental frequency f will it produce? Take the molar mass of air to be 28.8 g/mol and the molar mass of helium to be 4.00 g/mol.


Homework Equations



below

The Attempt at a Solution


v(he)=999 m/s
v(O)=344 m/s
I solved with fn = n v / 2 L but I am not getting as accurately of an answer as id like. How can I incorporate the molar mass into these equations?
 
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You'll need to find the relationship between the speed of sound in an ideal gas to the density of the gas. The density is proportional to the molar mass.
 
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