If the velocity of sound in air at 0'C 332m/s, calculate the velocity of sound at 30'C.?
V = 332 + 0.6m/s/oC *30 = 350 m/s.
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The velocity of sound in air is affected by temperature. It increases as the temperature of the air increases. To calculate the velocity of sound at a different temperature, you can use the formula:
V2 = V1 * √(T2 / T1)
Where:
V1 is the initial velocity of sound (332 m/s)
T1 is the initial temperature (0 degrees Celsius or 273 K)
T2 is the final temperature (30 degrees Celsius or 303 K)
V2 is the final velocity of sound at the final temperature
Let's calculate the velocity of sound at 30 degrees Celsius using the formula:
V2 = 332 * √(303 / 273)
V2 = 332 * √1.110
V2 = 332 * 1.053
V2 ≈ 349.116 m/s
Therefore, the velocity of sound at 30 degrees Celsius is approximately 349.116 m/s.
To calculate the velocity of sound at 30°C, we need to take into account the relationship between temperature and the velocity of sound.
The formula used to calculate the velocity of sound at a given temperature is:
v2 = v1 * √(T2/T1)
where:
- v2 is the velocity of sound at the new temperature (30°C)
- v1 is the velocity of sound at the initial temperature (0°C)
- T2 is the new temperature (30°C) in Kelvin (K)
- T1 is the initial temperature (0°C) in Kelvin (K)
To convert from Celsius to Kelvin, we use the following equation:
T(Kelvin) = T(Celsius) + 273.15
Let's calculate the velocity of sound at 30°C following these steps:
Step 1: Convert the temperatures from Celsius to Kelvin.
T1 = 0°C + 273.15 = 273.15K (initial temperature)
T2 = 30°C + 273.15 = 303.15K (new temperature)
Step 2: Substitute the values into the formula.
v2 = 332 m/s * √(303.15K/273.15K)
Step 3: Calculate the square root.
v2 = 332 m/s * √(1.110)
Step 4: Simplify the expression.
v2 = 332 m/s * 1.053
Step 5: Calculate the final answer.
v2 = 349.396 m/s
Therefore, the velocity of sound at 30°C is approximately 349.396 m/s.