Question

how fast does sound travel if the air temperature is 20 degrees celsius?​

Answer 1

Answer:

About 343 metres per second.

Explanation:

At 20 °C (68 °F), the speed of sound in air is about 343 metres per second (1,235 km/h; 1,125 ft/s; 767 mph; 667 kn), or a kilometre in 2.9 s or a mile in 4.7 s. It depends strongly on temperature as well as the medium through which a sound wave is propagating.

Answer 2

Answer:

At 20 degree Celsius the sound travel in the air at the speed of 343 m/s

Explanation:

• The distance traveled by the sound wave in unit time is defined as the speed of sound.
• The propagation of sound wave through air depends on the temperature and the medium.
• The speed of sound which travels through ideal gas depends on the temperature and composition.
• The speed of sound in air does not depend upon amplitude, wavelength or frequency of the sound wave.

To find:

• How fast does sound travel if the air temperature is 20 degree Celsius

Solution:

Speed of sound in air:

$\frac{V_{NTP} }{V_{Q} } = \sqrt{\frac{273}{273 + \alpha } } \\\\\alpha = Given temperature\\\\\frac{332}{V_{0} } = \sqrt{\frac{273}{273+20} }\\ \\ V_{o} = 332 * \frac{273}{293}\\ \\ V_{o} = 343 m/s$

Where 332 m/s is the speed of sound in air at 0° C at NTP

Therefore, At 20 degree Celsius the sound travel in the air at the speed of 343 m/s

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