The rate equation for the reaction $2\text{A}+\text{B}\to \text{C}$ is found to be: $\text{rate}=k[\text{A}][\text{B}]$. The correct statement in relation to this reaction is that the:

The rate constant $k$ is a characteristic of a reaction at a specific temperature and is independent of the concentrations of the reactants.Option A is wrong (it's a 2nd order reaction, units are ${\text{L mol}}^{-1}{\text{s}}^{-1}$).Option C is wrong (rate of formation of $\text{C}$ is half the rate of disappearance of $\text{A}$ according to stoichiometry).Option D is wrong ($t_{1/2}$ for a 2nd order reaction depends on initial concentration).