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Given temperature ϑ = 56°C.

Formula: speed of sound c = 331.3 + 0.606 × ϑ.

At ϑ = 56°C the speed of sound c = 331.3 + 0.606 × 56 = 365.2 m/s.

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Q: What is the speed of sound at a temperature of 56C?
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In general how does changing the temperature of a medium affect the speed of sound through that medium?

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The question is wrong. With rising temperature the speed of sound is also rising. Air temperature affects the speed of sound. The formula to find the speed of sound in air is as follows: c = 331 m/s + 0.6 m/s * T (°C) c is the speed of sound and T is the temperature of the air. One thing to keep in mind is that this formula finds the average speed of sound for any given temperature. The pitch of woodwind instruments goes up, when the temperature goes up.


Explain why the speed of sound changes if the temperature of the medium changes?

The speed of sound depends upon elasticity and inertia of the medium which in turn depend upon the temperature of the medium.That's why speed of sound depends upon the temperature of the medium.