Temperature dependence of physical entities - speed of sound density of air acoustic impedance dependency - sengpielaudio Checker
 
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Temperature Dependence of Physical Entities
Speed of sound,
Density of air and Air impedance

Temperature
of air vartheta in °C
Speed of sound
c in m/s
Time per 1 m
Δ t in ms/m
Density of air
ρ in kg/m3
Impedance
of air Z in N·s/m3
 −25 315.72 3.165 1.4224 449.1
 −20 318.89 3.134 1.3943 444.6
 −15 322.04 3.103 1.3673 440.3
 −10 325.16 3.073 1.3413 436.1
  −5 328.24 3.044 1.3163 432.1
    0 331.30 3.017 1.2920 428.0
  +5 334.33 2.990 1.2690 424.3
+10 337.33 2.963 1.2466 420.5
+15 340.31 2.937 1.2250 416.9
+20 343.26 2.912 1.2041 413.3
+25 346.18 2.888 1.1839 409.4
+30 349.08 2.864 1.1644 406.5
+35 351.96 2.840 1.1455 403.2

Vartheta = Temperature, c = Speed of sound, ρ = Density of air, Z = Acoustic Impedance of air

The speed of sound in air is determined by the air itself and is not
dependent upon the
amplitude, frequency, or wavelength of the sound.
For an ideal gas the speed of sound depends only on the temperature and
is independent of gas pressure. This dependence also applies to air, in
good approximation and can be regarded as an ideal gas.

Aha! Notice: The speed of sound changes clearly with temperature,
              a little bit with humidity − but not with air pressure (atmospheric pressure).

              The words "sound pressure at sea level" are incorrect and misleading.
              The temperature indication, however, is absolutely necessary.

The effect of temperature

The air density ρ is:

ρ = p / R · T in kg/m3

Air pressure= p, Gas constant = R, Temperature in Kelvin = T

The individual gas constant R
for dry air is:

R = 287,058 J / kg · K

with energie Joule (J) = Newton · Meter = N m; T in Kelvin = Temperature in °C + 273,15.

Atmospheric pressure p0 = 101325 Pa = 1013,25 mbar = 1013,25 hPa und R = 287,058 J/kg · K.

With T0 = 273,15 K (0 °C) (Normalbedingungen) ist die Luftdichte:

ρ0 = 101325 / (287,058 · 273,15) = 1,2922 kg/m3.

For T25 = 298,15 K (25 °C) (Normal conditions) the density of air is:

ρ25 = 101325 / (287,058 · 298,15) = 1,184 kg/m3.

Furthermore it is customary T20 = 293,15 K ⇔ 20 °C and the density of air is ρ = 1,204 kg/m3.

As you see, this sizes are strongly temperature dependent.

The speed of sound in air is:
Schallgeschw
Vartheta is the temperature in degrees Celsius.


Z0 = ρ0 · c

Google is not correct (look at the following link)
http://www.google.com/search?q=speed+of+sound
Here is the answer of Google: "Speed of sound at sea level = 340.29 m/s".
This is not a good answer, because they forgot to tell us the temperature,
and the given atmospheric pressure "at sea level" makes really no sense.

Reason: The air pressure p and density ρ of the air at the same temperature
are proportional to each other. The ratio p / ρ is always constant, on a high
mountain or even at sea level. Forget the atmospheric pressure, but make
sure the important temperature.

Weiter

Adiabatic index or ratio of specific heats κ (kappa) = cp / cv. Generally we take
with sufficient accuracy the formula (equation) for the speed of sound in air
in m/s vs. temperature Vartheta (theta) in degrees Celsius (centigrade):


 
 Schall in m/s. 
 

That gives e.g. at Vartheta = 20 °C a speed of sound c = 331 + 0.6 × 20 = 343 m/s.

 
 1 °C change of temperature is equal to 
 60 cm/s change of speed of sound.

 

Calculation of the Speed of Sound in Air and the important Temperature
Speed of sound - temperature matters, not air pressure
Calculation: speed of sound in humid air

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