A 200 ml mixture of CO and ${\mathrm{CO}}_2$ is passed through excess of red hot charcoal causing the following reaction
${\mathrm{CO}}_{2\left(\mathrm{g}\right)}+{\mathrm{C}}_{\left(\mathrm{S}\right)}\to 2{\mathrm{CO}}_{\left(\mathrm{g}\right)}$
After passing the gas through charcoal, volume increased to 270ml . Select the correct statements.

If original mixture was passed through KOH solution volume would have reduced to 70ml

Volume percentage of CO in the original mixture is 65%

Mole fraction of CO₂ in the original mixture will be 0.35

Minimum moles of red hot charcoal required for complete conversion of CO₂ should be 100 milli moles