The velocity of sound in air at 27°celcius is 340m/s calculate the velocity of sound in air at 227°celcius ?
To calculate the velocity of sound in air at 227°C, we need to use the formula for the velocity of sound in a gas:
v2 = v1 * sqrt(T2/T1)
Where:
v2 is the velocity of sound at the new temperature (227°C)
v1 is the velocity of sound at the initial temperature (27°C)
T2 is the new temperature in Kelvin (227°C + 273 = 500 K)
T1 is the initial temperature in Kelvin (27°C + 273 = 300 K)
First, let's convert the temperatures to Kelvin:
Initial temperature (T1) = 27°C + 273 = 300 K
New temperature (T2) = 227°C + 273 = 500 K
Using the given values:
v1 = 340 m/s
T1 = 300 K
T2 = 500 K
Now we can plug the values into the formula:
v2 = 340 m/s * sqrt(500 K / 300 K)
Simplifying the equation:
v2 = 340 m/s * sqrt(5/3)
Calculating the square root:
v2 = 340 m/s * √(5/3) ≈ 387.3 m/s
So, the velocity of sound in air at 227°C is approximately 387.3 m/s.
To calculate the velocity of sound in air at 227°C, we can use the formula for the velocity of sound in gases. The formula is given by:
v2 = v1 * √(T2/T1)
Where:
v2 = velocity of sound at the new temperature
v1 = velocity of sound at the initial temperature
T2 = new temperature in Kelvin
T1 = initial temperature in Kelvin
First, let's convert the initial and new temperatures from Celsius to Kelvin.
Initial temperature: 27°C
Initial temperature in Kelvin (T1) = 27 + 273 = 300K
New temperature: 227°C
New temperature in Kelvin (T2) = 227 + 273 = 500K
Now, we can plug the values into the formula for the velocity of sound.
v2 = 340 * √(500/300)
v2 = 340 * √(5/3)
v2 = 340 * √(25/9)
v2 = 340 * (5/3)
v2 = 566.666... m/s
Therefore, the velocity of sound in air at 227°C is approximately 566.67 m/s.