Find the speed of sound (in m/s) at -35°C at 1 atm pressure in dry air.
An approximation formula is speed=331.5(1+.6Temp) where temp is in Celcius. check that formula.
I got like, 7431, is that correct? Because that seems rather large.
To find the speed of sound at -35°C in dry air at 1 atm pressure, we can use the following formula:
v = 331.4 + 0.6 * T
Where:
v is the speed of sound in m/s
T is the temperature in °C
Let's plug in the values:
T = -35°C
v = 331.4 + 0.6 * (-35)
v = 331.4 - 21
v = 310.4 m/s
Therefore, the speed of sound at -35°C in dry air at 1 atm pressure is approximately 310.4 m/s.
To find the speed of sound in dry air at -35°C and 1 atmosphere pressure, we can use the formula:
v = sqrt(γ * R * T)
Where,
v = speed of sound
γ = adiabatic index (for dry air γ ≈ 1.4)
R = gas constant for dry air (R ≈ 287 J/(kg·K))
T = temperature in Kelvin (K)
First, let's convert the given temperature (-35°C) to Kelvin.
T(K) = T(°C) + 273.15
T(K) = -35 + 273.15
T(K) = 238.15 K
Now, we can substitute the values into the formula and solve for the speed of sound:
v = sqrt(1.4 * 287 * 238.15)
Calculating this using a calculator or computer program, we find:
v ≈ 320.8 m/s
So, the speed of sound at -35°C and 1 atm pressure in dry air is approximately 320.8 m/s.