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The speed of sound waves in air at 300 K is 332 m/s. At what temperature will the speed be 574 m/s?

Question:

The speed of sound waves in air at 300 K is 332 m/s. At what temperature will the speed be 574 m/s?

The Speed of Sound:

When considering an ideal gas, the speed of sound squared is proportional to the Kelvin temperature of the gas and is inversely proportional to the mass of the gas. The speed of sound in liquids or solids is greater than the speed of sound in gases.

Answer and Explanation: 1

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The square root of the speed of sound v is proportional to the Kelvin temperature T. That is,

{eq}T\propto v^2 {/eq}

So, the Kelvin temperature T'...

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What is Sound? - Definition and Factors Affecting the Speed of Sound

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Chapter 5 / Lesson 4
65K

Learn about the speed of sound and the speed of sound formula and equation. Discover how fast sound travels in different matters and temperatures like water.


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