If the speed of sound in air at 0°C is 331 m/s, the speed of sound in air at 35°C is:
Show Hint
- 331.0 m/s
- 340.2 m/s
- 351.6 m/s
- 362.5 m/s
The Correct Option is C
Approach Solution - 1
The speed of sound in air is affected by temperature. At 0°C, the speed is 331 m/s. The relationship between the speed of sound in air and temperature can be expressed by the formula:
v = v0 + 0.6 × T
where:
- v is the speed of sound at temperature T (in °C),
- v0 is the speed of sound at 0°C,
- T is the temperature in degrees Celsius.
Given that v0 = 331 m/s and T = 35°C, substitute the values into the formula:
v = 331 + 0.6 × 35
Calculate the result:
- 0.6 × 35 = 21
Add this to the initial speed at 0°C:
v = 331 + 21 = 352 m/s
Therefore, the speed of sound in air at 35°C is approximately 351.6 m/s.
Approach Solution -2
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