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Consider the reaction, <br> $2A + B \to products$ <br> When concentration of B alone was doubled, the half-life did not change. When the concentration of A alone was doubled, the rate increased by two times. The unit of rate constant for this reaction is :


( A ) no unit
( B ) $s^{-1}$
( C ) $mol\;L^{-1}s^{-1}$
( D ) $L\;mol^{-1} s^{-1}$

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