Q32 / 180 · KCET 2021 · Chemistry
For a reaction, $A+2 B \rightarrow$ Products, when concentration of $B$ alone is increased half-life remains the same. If concentration of $A$ alone is doubled, rate remains the same. The unit of rate constant for the reaction is
- Correct answerA$\mathrm{s}^{-1}$
- B$\mathrm{L} \mathrm{mol}^{-1} \mathrm{~s}^{-1}$
- C$\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}$
- D$\mathrm{atm}^{-1}$
Solution
For the reaction,
$A+2 B \longrightarrow \text { Products }$
Half-life $\left(t_{1 / 2}\right)$ remains same as $[B]$ increases for lst order, $t_{1 / 2} \propto \frac{l}{[B]}$
$\therefore$ w.r.t. $B$, reaction is of first order.
Also, as $[A]$ is doubled, rate remains constant.
$\therefore$ It is zero order w.r.t. $A$.
$\therefore$ Rate law expression is $k[A]^{0}[B]^{1}$
$\therefore$ Overall order $=0+1=1$
$\therefore$ Unit of $k=\mathrm{s}^{-1}$
Hence, the correct answer is option: 'A'.