- K -
Since the acoustic disturbance introduced in a point is very small the heat transfer can be neglected and for gases assumed isentropic. For an isentropic process the ideal gas law can be used and the speed of sound can be expressed as
c = (k p / ρ)1/2
= (k R T)1/2 (3)
k = ratio of specific heats (adiabatic index)
p = pressure (Pa, psi)
R = individual gas constant(J/kg K, ft lb/slug oR)
T = absolute temperature (oK, oR)
For an ideal gas the speed of sound is proportional to the square root of the absolute temperature.
The speed of sound in air at 0 oC (273.15 K) and absolute pressure 1 bar can be calculated as
c = (1.4 (286.9 J/K kg) (273.15 K))1/2
= 331.2 (m/s)
k = 1.4
R = 286.9 (J/K kg)
The speed of sound in air at 20 oC(293.15 K) and absolute pressure 1 bar can be calculated as
c = (1.4 (286.9 J/K kg) (293.15 K))1/2
= 343.1 (m/s)
The speed of sound in water at 10 oC can be calculated as
c = ((2.09 109 N/m2) / (999.7 kg/m3))1/2
= 1446 (m/s)
Ev= 2.09 109 (N/m2)
ρ = 999.7 (kg/m3)
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