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Velocity of sound in air at 1 atm at 0°C is aboutSelect an answerA360 m/sB380 m/sC330 m/sD400 m/s

Question

Velocity of sound in air at 1 atm at 0°C is about

Select an answer
A) 360 m/s
B) 380 m/s
C) 330 m/s
D) 400 m/s

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Solution

To determine the velocity of sound in air at 1 atm and 0°C, we can refer to the physics concept regarding the speed of sound in gases.

  1. Basic Concept: The speed of sound in air can be approximated using the formula: v=331.3+(0.6×T) v = 331.3 + (0.6 \times T) where v v is the speed of sound in meters per second and T T is the temperature in degrees Celsius.

  2. Temperature Calculation: For T=0°C T = 0°C : v=331.3+(0.6×0)=331.3m/s v = 331.3 + (0.6 \times 0) = 331.3 \, \text{m/s}

  3. Analysis: Since the calculated speed 331.3m/s 331.3 \, \text{m/s} is closest to one of the options provided, it is important to assess the choices:

    • A: 360 m/s
    • B: 380 m/s
    • C: 330 m/s
    • D: 400 m/s

    The calculated value of 331.3 m/s rounds to 330 m/s, which is provided as option C.

  4. Verification: The accepted velocity of sound in air at 0°C is typically cited as approximately 331 m/s, confirming that option C is indeed the correct choice.

Final Answer

The velocity of sound in air at 1 atm and 0°C is approximately C) 330 m/s.

This problem has been solved

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