Chemistry - Chemical Kinetics Question with Solution | TestHub

The reaction between chloroform, ${\mathrm{CHCl}}_3(\mathrm{g})$ and chlorine ${\mathrm{Cl}}_2(\mathrm{g})$ to form ${\mathrm{CCl}}_4(\mathrm{g})$ and $\mathrm{HCl}(\mathrm{g})$ is believed to occur by this series of steps:

Step 1. ${\mathrm{Cl}}_2(\mathrm{g})⟶\mathrm{Cl}(\mathrm{g})+\mathrm{Cl}(\mathrm{g})$

Step 2. ${\mathrm{CHCl}}_3(\mathrm{g})+\mathrm{Cl}(\mathrm{g})⟶{\mathrm{CCl}}_3(\mathrm{g})+\mathrm{HCl}(\mathrm{g})$

Step 3. ${\mathrm{CCl}}_3(\mathrm{g})+\mathrm{Cl}(\mathrm{g})⟶{\mathrm{CCl}}_4(\mathrm{g})$

If this reaction is first order in ${\mathrm{CHCl}}_3$ and half order in ${\mathrm{Cl}}_2$, which statement(s) about the relative rates of steps 1, 2, and 3 is/are correct?