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Question

What is the speed of sound in air at 30ºC?

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Bradley

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Solution By Steps

Step 1: Calculate the speed of sound in air at 0ºC

The speed of sound in air at 0ºC is approximately 331 m/s.

Step 2: Determine the temperature difference from 0ºC to 30ºC

The temperature difference from 0ºC to 30ºC is 30ºC.

Step 3: Use the approximation that the speed of sound increases by 0.6 m/s for every 1ºC increase in temperature

For a 30ºC increase from 0ºC, the speed of sound at 30ºC is approximately 331 m/s + (30ºC * 0.6 m/s/ºC).

Final Answer

The speed of sound in air at 30ºC is approximately 349 m/s.

Key Concept

Speed of Sound

Key Concept Explanation

The speed of sound in a medium increases with temperature. In air, the speed of sound typically increases by about 0.6 m/s for every 1ºC rise in temperature. This relationship is important in various fields, including acoustics, meteorology, and physics.

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