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Q.
Assertion : Rate of reaction doubles when concentration of reactant is doubled if it is a first order reaction. Reason : Rate constant also doubles.
For first order reaction, Rate $_{1}=k\left[A_{1}\right]$
According to question, $\left[ A _{2}\right]=\left[2 A _{1}\right]$
$\therefore $ Rate $_{2}= k \left[2 A _{1}\right]$
$\Rightarrow$ Rate $_{2}=2$ Rate $_{1}$
For a given reaction, rate constant is constant and independent of the concentration of reactant.