Write Newton's formula and laplace correction for velocity of sound in air ?
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Answered by
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Heya.......!!!
As per as Newton he claims that whenever a sound wave travels through air it undergoes isothermal (( Temprature remains constant ))
Newton's formulae » V = √P/√ ρ
So speed of sound came to be = 280 m/s according to Newton .
BY LAPLACE
Laplace suggested correction in Newton's formulae , whenever sound wave travels through air .» Adiabatic change occurs in the gas
Formulae by him » V = √YP/√ ρ
Here Y = adiabatic constant ( value in air = 1.4 )
so speed of sound came to be accurate i.e » 332 m/s
HOPE IT HELPS U ^_^
As per as Newton he claims that whenever a sound wave travels through air it undergoes isothermal (( Temprature remains constant ))
Newton's formulae » V = √P/√ ρ
So speed of sound came to be = 280 m/s according to Newton .
BY LAPLACE
Laplace suggested correction in Newton's formulae , whenever sound wave travels through air .» Adiabatic change occurs in the gas
Formulae by him » V = √YP/√ ρ
Here Y = adiabatic constant ( value in air = 1.4 )
so speed of sound came to be accurate i.e » 332 m/s
HOPE IT HELPS U ^_^
Anonymous:
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Answered by
29
Newton assumed that when sound propagates through air, temperature remains constant (i.e. the process is isothermal).
So, bulk modulus of elasticity B = BT = p
(isothermal bulk modulus BT of a gas is equal to its pressure).
Therefore at NTP
p = 1.01 × 105 N/m2 and ρ = 1.3 kg/m3
= 279 m/s
The experimental value of v in air is 332 m/s at NTP. This discrepancy was removed by Laplace.
LAPLACE’S CORRECTION :
Laplace assumed that the propagation of sound in air is an adiabatic process not the isothermal.
B = Bs = γP [Adiabatic bulk modulus Bsof a gas = γP]
Where γ = Cp/Cv = 1.41 for air
Which is in agreement with the experimental value (332 m/s) thus,
We can conclude that sound waves propagate through gases adiabatically
So, bulk modulus of elasticity B = BT = p
(isothermal bulk modulus BT of a gas is equal to its pressure).
Therefore at NTP
p = 1.01 × 105 N/m2 and ρ = 1.3 kg/m3
= 279 m/s
The experimental value of v in air is 332 m/s at NTP. This discrepancy was removed by Laplace.
LAPLACE’S CORRECTION :
Laplace assumed that the propagation of sound in air is an adiabatic process not the isothermal.
B = Bs = γP [Adiabatic bulk modulus Bsof a gas = γP]
Where γ = Cp/Cv = 1.41 for air
Which is in agreement with the experimental value (332 m/s) thus,
We can conclude that sound waves propagate through gases adiabatically
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