The ratio of the masses of carbon and oxygen in a mixture of CO and CO2 is 1: 2.

The ratio of the masses of carbon and oxygen in a mixture of CO and CO2 is 1: 2. Calculate the volume fraction (%) of gases in the mixture.

1 mole of CO contains 1 mole of C atoms and 1 mole of O atoms. If there is x mole of CO in the mixture, then there will be x mole of C and O atoms.
Let the amount of CO2 be y mol, then the C atoms in it will be y mol, and O – 2y mol.
m = M * ν.

Mass C in the mixture: 12 * (x + y);

mass O in the mixture: 16 * (x + 2y).

m (C) / m (O) = 1/2;

12 * (x + y) / 16 * (x + 2y) = 1/2;

x = y.
This means that the ratio of CO and CO2 is 1: 1, i.e. 50%: 50%.