The velocity of sound at NTP is 332 m s⁻¹ calculate the velocity of sound at 50°C?
The velocity of sound at NTP is 332 m s⁻¹ calculate the velocity of sound at 50°C — this problem uses the standard relation between sound speed and air temperature to find the new speed at 50°C.
Formula for Speed of Sound vs Temperature
In air, the velocity of sound increases with temperature. A commonly used approximation is:
v ≈ 331 + 0.6 T
where
v = velocity of sound in m s⁻¹
T = temperature in °C
Calculation at 50°C
Given that at NTP (≈0°C), the velocity of sound is ≈ 332 m s⁻¹, we substitute T = 50°C:
v ≈ 331 + 0.6 × 50 = 331 + 30 = 361 m s⁻¹
Final Answer
The velocity of sound in air at 50°C is approximately 361 m s⁻¹.
Note: The relation v ≈ 331 + 0.6 T is an approximation valid for dry, calm air. Humidity and composition of air can slightly affect the actual speed of sound.
The velocity of sound at NTP is 332 m s⁻¹ calculate the velocity of sound at 50°C?
Read More About Speed of Sound (DoFollow)
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