Question

explain Laplace correction​

Answer 1

A 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.

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Answer 2

$\red{\bold{\underline{{ Laplace \: Correction \: Description \: :}}}}$

in 1816 the French scientist Laplace pointed out that sound Travels through a gas under adiabatic condition not under isothermal condition. this is because of the following reasons :-

• A Sound Travels through a gas temperature rises in the reagions of compressions and falls in the regions of Rarefractions.

• A Gas is poor conductor of heat.

• The Compression and Rarefaction are formed so rapidly that the heat generated in the regions of compressions does not get time to pass into the regions of rarefactions so as to equalise the temperature .

So when sound Travels through a gas the temperature does not remain constant. The Pressure volume variations are adiabatic .

If K is adiabatic bulk modulus of the gas then the formula for the speed of sound in the gas would be :-

$\huge\red{\bold {\sf v= \sqrt{\dfrac{\kappa_{adia}}{\rho }}} }$