Pitch of Organ Pipes: Room Temp Effects

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Air temperature significantly affects the pitch of organ pipes due to its influence on the speed of sound. As temperature increases, the speed of sound in air rises, leading to a higher pitch produced by the organ pipes. The fundamental frequency, which determines the pitch, is also influenced by the length of the pipe and the resonant frequencies that can build up within it. Understanding the relationship between temperature and sound speed is crucial for tuning and performance. Therefore, temperature variations in a room can lead to noticeable changes in the pitch of organ pipes.
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how will the air temperature in a room affect the pitch of organ pipes?
 
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The speed of sound in air is determined by the properties of the air molecules -- speed, number density (number per unit volume), individual particle's inertia (mass)...

The speed of sound and the frequency determine the wavelength... and in the case of an organ pipe, the fundamental frequency (pitch) is determined by the length of the pipe (some frequencies of sound will "resonate" in the pipe... i.e. build up via constructive interference... and some frequencies will not).

To work through this in steps: do you know how the speed of sound changes with temperature?
 

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