Calculate the root mean square speed of fluorine gas at 425˚c. answer in units of m/s.

 The root mean square speed of a gas is calculated through the equation,

       Vrms = sqrt (3RT/M)

where:
      Vrms = root mean square velocity/speed
      R = universal gas constant
      T = temperature
      M = molar mass of the gas

Fluorine gas is a diatomic particle, F2, with a molar mass equal to 37.997 g/mol. Substituting the known values to the equation,

      Vrms = sqrt (3)(0.0821 L.atm/mol.K)(425 + 273.15)) / 37.997 g/mol))
         Vrms = sqrt ((3)(0.0821 L atm)(101325 kg/ms²/1 atm))(698.15 K) (1 m³/1000L)/ (37.997 g)(1 kg/1000g))
       Vrms = 25.63 m/s

ANSWER: 25.63 m/s