find the speed of sound (in m/s) at -35°C at 1 atm pressure in dry air
There are many websites online provide the speed of sound in air as a function of temperature.
Try this one:
http://www.sengpielaudio.com/calculator-speedsound.htm
The most accurate formula is
Speed of sound = sqrt[(gamma)*R*T]
where T is the Kelvin temperatuere and gamma is the specific heat ratio, which is 1.4 for dry air. R' is the molar gas constant divided by the molecular weight of air .
thank you!
To find the speed of sound at a given temperature and pressure in dry air, you can use the Newton-Laplace equation, which relates the speed of sound to the temperature and molar mass of the gas. The equation is as follows:
v = √(γ * R * T / M)
where:
v = speed of sound
γ = adiabatic index (approximated as 1.4 for dry air)
R = gas constant (approximately 8.314 J/(mol*K))
T = temperature in Kelvin (°C + 273.15)
M = molar mass of dry air (approximately 0.02897 kg/mol)
Now, let's calculate the speed of sound at -35°C and 1 atm pressure:
Step 1: Convert temperature to Kelvin:
T = -35 + 273.15 = 238.15 K
Step 2: Plug the values into the equation and solve:
v = √(1.4 * 8.314 * 238.15 / 0.02897)
v = √(331.2361)
v ≈ 18.2 m/s
Therefore, the speed of sound at -35°C and 1 atm pressure in dry air is approximately 18.2 m/s.