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

In summary, to find the fundamental frequency of an organ pipe filled with helium, we need to find the relationship between the speed of sound in an ideal gas and the density of the gas. The density is proportional to the molar mass, which is 28.8 g/mol for air and 4.00 g/mol for helium. This information can be used in the equation fn = n v / 2 L to find the correct frequency.
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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 [tex]fn = n v / 2 L[/tex] 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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  • #2
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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FAQ: How Does Helium Affect the Fundamental Frequency of an Organ Pipe?

What is a pipe filled with helium?

A pipe filled with helium is a hollow tube that contains the gas helium. Helium is a colorless, odorless, and non-toxic gas that is less dense than air.

What is the purpose of filling a pipe with helium?

The purpose of filling a pipe with helium is to create an environment with low air resistance. This can be useful for experiments or demonstrations involving gas flow, such as in pneumatic systems.

How is a pipe filled with helium?

A pipe can be filled with helium by using a compressed gas cylinder or a helium tank. The pipe is connected to the cylinder or tank and the gas is released into the pipe until it is filled to the desired level.

What are the properties of helium?

Helium has several unique properties, including being the second lightest element on the periodic table, having a low boiling point of -268.9°C, and being chemically inert. It also has the ability to conduct heat and electricity better than any other gas.

What are the safety precautions when working with a pipe filled with helium?

When working with a pipe filled with helium, it is important to ensure proper ventilation and to avoid inhaling large amounts of the gas. Helium is not toxic, but it can displace oxygen in a confined space. It is also important to handle compressed gas cylinders with caution and to follow all safety guidelines provided by the manufacturer.

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