if pressure is made 16times,what will be the effect on the velocity of sound?
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The Mach number, or speed of sound, is given by the equation
Ma=SQRT(yRT)
Where Ma=Mach velocity, y=specific heat capacity(1.4 for air), R=gas constant(287 J/kgK for air) and T=temperature in Kelvin
So we can see it is temperature not pressure that defines the speed of sound. So to answer your question we must ask, how much will the temperature change if pressure increases 4 times
If we say that no other quantities change (volume, mass etc.) then for an ideal gas
P/T=k
Where P=pressure, T=temperature and k=constant. Pressure and temperate are directly proportional to each other, so when pressure increases, so too does the temperature.
so we can see that as temperature increases, so does the speed of sound.
Ma=SQRT(yRT)
Where Ma=Mach velocity, y=specific heat capacity(1.4 for air), R=gas constant(287 J/kgK for air) and T=temperature in Kelvin
So we can see it is temperature not pressure that defines the speed of sound. So to answer your question we must ask, how much will the temperature change if pressure increases 4 times
If we say that no other quantities change (volume, mass etc.) then for an ideal gas
P/T=k
Where P=pressure, T=temperature and k=constant. Pressure and temperate are directly proportional to each other, so when pressure increases, so too does the temperature.
so we can see that as temperature increases, so does the speed of sound.
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