Data Given;
T = 306 K
M.mass of CO = 28 g/mol = 0.028 Kg/mol
M.mass of CO₂ = 44 g/mol = 0.044 Kg/mol
M.mass of SO₃ = 80 g/mol = 0.080 Kg/mol
Gas Constant = R = 8.314 J/mol.K
Formula used;
Vrms = [tex] \sqrt{3RT/M} [/tex]
Putting values for CO;
Vrms = [tex] \sqrt{3(8.314)(306)/0.028} [/tex]
Vrms = 477 m.s⁻¹
Putting values for CO₂;
Vrms = [tex] \sqrt{3(8.314)(306)/0.044} [/tex]
Vrms = 380 m.s⁻¹
Putting values for SO₃;
Vrms = [tex] \sqrt{3(8.314)(306)/0.080} [/tex]
Vrms = 282 m.s⁻¹
Kinetic Energy;
K.E = 1/2 mv²
Putting values,
For CO,
K.E = 1/2 (0.028 Kg/mol) (477 m/s)²
K.E = 1/2 (0.028 Kg) (227529 m²/s²)
K.E = 3185 Kg.m².s⁻²
For CO₂,
K.E = 1/2 (0.044 Kg/mol) (380 m/s)²
K.E = 1/2 (0.044Kg) (144400 m²/s²)
K.E = 3176 Kg.m².s⁻²
For SO₃,
K.E = 1/2 (0.080 Kg/mol) (282 m/s)²
K.E = 1/2 (0.080 Kg) (79524 m²/s²)
K.E = 3180 Kg.m².s⁻²
