The rate constant for a second order reaction, $\mathrm{A} \rightarrow$ Product is $1 \cdot 62…

The rate constant for a second order reaction, $\mathrm{A} \rightarrow$ Product is $1 \cdot 62 \mathrm{M}^{-1} \mathrm{~s}^{-1} .$ What will be the rate of reaction when concentration of reactant is $2 \times 10^{-3} \mathrm{M} ?$
  1. $3 \cdot 24 \times 10^{-3} \mathrm{Ms}^{-1}$
  2. $3 \cdot 24 \times 10^{-6} \mathrm{Ms}^{-1}$
  3. $6 \cdot 48 \times 10^{-6} \mathrm{Ms}^{-1}$
  4. $2 \times 10^{-3} \mathrm{Ms}^{-1}$

Solution

A $\longrightarrow$ Product second order zeaction $R=K[A]^{2}$ $\begin{aligned} \therefore \quad K &=1.62 \mathrm{M}^{-1} \mathrm{~S}^{-1} \\ [A] &=2 \times 10^{-3} \mathrm{M} \\ R &=\text { ? } \\ \longrightarrow \text { Rate of Reaction } R &=(1.62)\left(2 \times 10^{-3}\right)^{2} \\ &=6.48 \times 10^{-6} \mathrm{MS}^{-1} \end{aligned}$

Asked in: MHT CET 2020 (12 Oct Shift 1)

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