what is laplace correction in the formula for the speed of sound
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correction to the calculation of the speed of sound in a gas. Newton assumed that the pressure–volume changes that occur when a sound wave travels through the gas are isothermal. Laplace was subsequently able to obtain agreement between theory and experiment by assuming that pressure–volume changes are adiabatic.
Speed of sound in air
At Normal Temperature and Pressure, the velocity of sound in air is given by –
v=Pρ−−√
Where atmospheric pressure P = 1.1013×105 N/m2
The density of air ()= 1.293 kg/m3
v=Pρ−−√=1.013×1051.293−−−−−−−√=280m/s
The value got here does not match with the experimental value. That is 332 m/s. Which implies that some correction should be done to Newton’s equation.
Explanation:
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