The difference between the speed of sound in air at 0 C and the speed of sound in ar at 20 C is
Isn't it .6m/s per degree Celcius?
To find the difference between the speed of sound in air at 0°C and the speed of sound in air at 20°C, we need to consider the formula for calculating the speed of sound in air:
v = √(γ * R * T)
Where:
v represents the speed of sound,
γ is the adiabatic index (ratio of specific heat capacities),
R is the gas constant,
T is the temperature in Kelvin.
First, let's convert the temperatures from Celsius to Kelvin:
0°C + 273.15 = 273.15K
20°C + 273.15 = 293.15K
Now, we can calculate the speed of sound at both temperatures. Assuming γ and R remain constant, the only variable that changes is the temperature (T).
For 0°C:
v1 = √(γ * R * T1)
For 20°C:
v2 = √(γ * R * T2)
To find the difference, subtract v1 from v2:
difference = v2 - v1
Keep in mind that the value of γ can vary slightly depending on atmospheric conditions, but for general calculations, we can assume it to be approximately 1.4.