Map Sapling Learning macmillan learning The average kinetic

Map Sapling Learning macmillan learning The average kinetic energy of the molecules in a gas sample depends only on the temperature, T. But given the same kinetic energies, a lighter molecule will move faster than a heavier molecule. 3RT where R-8.314 J(mol K) and. is molar mass in kilograms per mole. Note that a joule is the same as a kg m2/s2 rms speed- What is the rms speed of Cl2 molecules at 281 K? Number 429.577m/s What is the rms speed of He atoms at 281 K? Number 1323.267m/ s

Solution

Rms speed of Cl₂=[(3RT)/(M)]^0.5=[(3*8.314*281)/(71)]^0.5=9.935 m/sec

Rms speed of He=[(3RT/M)]^0.5=[(3*8.314*281)/4]^0.5=41.85 m/sec