Answer:
515.22 m/s
Explanation:
Formula for root mean square velocity is SQRT (3RT/M)
Where,
R = Rydberg's constant = 8.314 Kg. m²/ s². K. mol
T = Temperature in Kelvin
M = Molar mass in Kg/mol
First calculate molar mass,
As nitrogen is diatomic molecule,
Its molar mass is
M = 2(14) = 28 g/mol
Convert unit into Kg/mol
28 g/mol x 1 Kg/1000g = 2.8x10¯² Kg/mol
Convert temperature into kelvin
T = 25 + 273 = 298K
Put all values in formula
Vrms = SQRT (3RT/M)
Vrms = SQRT (3x8.314x298/2.8x10¯²)
Vrms = SQRT (265454. 14)
Vrms = 515.22 m/s
