# Sonic Velocity Calculator, Formula, Sonic Velocity Calculation

## Sonic Velocity Calculator:

Enter the values of Adiabatic Constant y, Universal Gas Constant R(J/mol-k), Absolute Temperature T(k) & Molecular Mass of the gas M(kg/mol) to determine the value of Sonic Velocity Vs(m/s).

 Enter Adiabatic Constant: Enter Universal Gas Constant: J/mol-k Enter Absolute Temperature: k Enter Molecular Mass of the Gas: kg/mol Result – Sonic Velocity: m/s

## Sonic Velocity Formula:

The Sonic Velocity Vs(m/s) in meter per second is equal to the SQRT of Adiabatic Constant y and multiply the Universal Gas Constant R(J/mol-k) = 8.314 J/mol·K in joule per mol kelvin and again multiply the Absolute Temperature T(k) in Kelvin is Divided by the Molecular Mass of the gas M(kg/mol) in kilogram per mol.

The Equation of Sonic Velocity can be writtern as,

Vs(m/s) = SQRT ( y * R(J/mol-k) * T(k)  / M(kg/mol) )

Here,

Vs(m/s) = Sonic Velocity in meter per second

R(J/mol-k) = Universal Gas Constant in joule per mol kelvin

T(k) = Absolute Temperature in Kelvin

M(kg/mol) = Molecular Mass of the gas in kilogram per mol

### Example problems for Sonic Velocity:

1)Calculate the Sonic Velocity and given for Adiabatic Constant = 3 , Universal Gas Constant = 8.314 J/mol·K , Absolute Temperature = 180K , Molecular Mass = 40kg/mol.

Vs = √ ( y * R * T / M )

Vs = √ ( 3 * 8.314 * 180 / 40 )

Vs = 10.59m/s.

2)Calculate the Molecular Mass and given for Adiabatic Constant = 3 , Universal Gas Constant = 8.314 J/mol·K , Absolute Temperature = 180K , Sonic Velocity = 10.59m/s.