For the reaction $2A + B \rightarrow \text{Product}$,the half-life period remains unchanged when the concentration of $B$ is doubled. However,when the concentration of $A$ is doubled,the rate of the reaction doubles. Determine the unit of the rate constant for this reaction.
- A$s^{-1}$
- BUnitless
- C$mol \ L^{-1} \ s^{-1}$
- D$L \ mol^{-1} \ s^{-1}$
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