From Boyle's law the volume of a fixed mass of a gas is inversely proportional to temperature at constant absolute temperature.
Thus, Vα1/P
  = V = k/P where k is a constant
P1V1=P2V2
Therefore; V2 = P1V1/P2
            = ( 6.0 ×10^-5 × 775) /622
            = 7.476 × 10^-5 L
Hence, the new volume of the air mass is 7.476 × 10^-5 L