Molecular Speed Velocity Calculator, Formula, MSV Calculation

Molecular Speed Velocity Calculator:

Enter the values of absolute temperature, T_(K) and molar mass, M_(kg/mol) to determine the value of molecular speed velocity, V_(m/s).

Molecular Speed Velocity Formula:

Molecular speed is defined as the average speed of gas molecules in motion at a given temperature. It can be calculated using the ideal gas law and the molar mass of the gas.

Molecular speed velocity, V_(m/s) in metres per second is equated by the square root of the product of three times of universal gas constant, R_(J/mol/K) is 8.314J/mol/K, absolute temperature, T_(K) in Kelvin and then divided by molar mass, M_(kg/mol) in kilogram per mole.

Molecular speed velocity, V_(m/s)  = √ ( 3 * R_(J/mol/K) * T_(K) / M_(kg/mol) )

V_(m/s)  = molecular sped velocity in metres per second, m/s.

R_(J/mol/K) = universal gas constant, 8.314J/mol/K.

T_(K) = absolute temperature in Kelvin, K.

M_(kg/mol) = molas mass in kelograms per mole.

Molecular Speed Velocity Calculation:

1. Calculate the molecular speed of nitrogen gas (N₂) at a temperature of 300 K.

Given: T_(K) = 300K, molar mass of nitrogen, M_(kg/mol) = 0.028kg/mol,

R_(J/mol/K) = 8.314J/mol/K.

Molecular speed velocity, V_(m/s)  = √ ( 3 * R_(J/mol/K) * T_(K) / M_(kg/mol) )

V_(m/s)  = √ ( 3 * 8.314 * 300 / 0.028 )

V_(m/s)  = 517.14m/s.

2. Calculate the molar mass of a gas if the molecular speed is 450 m/s at a temperature of 273K.

Given: T_(K) = 273K, molar mass of nitrogen, V_(m/s)  = 450m/s,

R_(J/mol/K) = 8.314J/mol/K.

Molecular speed velocity, V_(m/s)  = √ ( 3 * R_(J/mol/K) * T_(K) / M_(kg/mol) )

M_(kg/mol) = 3 * R_(J/mol/K) * T_(K) / V²_(m/s)

M_(kg/mol) = 3 * 8.314 * 273 / 450²

M_(kg/mol) = 6804.982 / 202500

M_(kg/mol) = 0.0336kg/mol.

Molecular Speed of Gases Formula With Boltzmann’s Constant