Question

Calculate the root mean square velocity and kinetic energy of CO, CO2, and SO3 at 252 K .

Calculate the root mean square velocity of CO at 252 K .

Calculate the root mean square velocity of CO2 at 252 K

Calculate the root mean square velocity of SO3 at 252 K.

Calculate the kinetic energy of CO at 252 K .

Calculate the kinetic energy of CO2 at 252 K

Calculate the kinetic energy of SO3 at 252 K .

Which gas has the greatest velocity?

The greatest kinetic energy?

The greatest effusion rate?

Answer 1

rms=(3RT/M)^1/2              R=8.314J/k.mol

                                                `=8.314Kg m² S^-2 K^-1mol^-1

CO molar mass is 28g/mol it is 0.028Kg/mol

Rms for CO is((3*8.314Kg m² S^-2 K^-1mol^-1*252K)/0.028Kg/mol)^1/2

                =473.791(m²/s²)^1/2

                =473.791m/s

CO₂ molar mass is 44g/mol it is 0.044Kg/mol

Rms for CO₂ is((3*8.314Kg m² S^-2 K^-1mol^-1*252K)/0.044Kg/mol)^1/2

                =377.955(m²/s²)^1/2

                =377.955m/s

SO₃ molar mass is 80g/mol it is 0.08Kg/mol

Rms for SO₂ is((3*8.314Kg m² S^-2 K^-1mol^-1*252K)/0.08Kg/mol)^1/2

                =280.299 (m²/s²)^1/2

                =280.299m/s