Question
The reaction $A \rightarrow B$ is a second order process when the initial concentration of $A$ is $0.50 M$, the half life is $8.0$ minutes. What is the half life if the initial concentration of $A$ is $0.10 M?$
✓
Answer
$(a) 40.0$ minutes
Explanation: For second$-$order reaction:
$t_{1 / 2}=\frac{2 k}{[R]}$
$\Rightarrow k=\frac{t_{1 / 2}[R]}{2}$
Applying this equation,
$\frac{t_{1 / 2}[R]}{2}=\frac{t_{1_{1 / 2}}\left[R^{\prime}\right]}{2}$
$\frac{8.0 \times 0.50}{2}=\frac{t_{1 / 2}^{\prime} \times 0.10}{2}$
$t_{1 / 2}^{\prime}=\frac{8 \times 0.50}{0.10}=40$
Explanation: For second$-$order reaction:
$t_{1 / 2}=\frac{2 k}{[R]}$
$\Rightarrow k=\frac{t_{1 / 2}[R]}{2}$
Applying this equation,
$\frac{t_{1 / 2}[R]}{2}=\frac{t_{1_{1 / 2}}\left[R^{\prime}\right]}{2}$
$\frac{8.0 \times 0.50}{2}=\frac{t_{1 / 2}^{\prime} \times 0.10}{2}$
$t_{1 / 2}^{\prime}=\frac{8 \times 0.50}{0.10}=40$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Which property of transition metals enables them to behave as catalysts?
is-Milk sugar is :
The metal iron present in chlorophyll is :
In general, the rate of a reaction can be increased by all the factors except:
1M, 2.5 litre NaOH solution is mixed with another 0.5M, 3 litre NaOH solution. Then find out the molarity of resultant solution:
Soaps and detergent industries uses:
Relative lowering of vapour pressure is a colligative property because__________.
Among the following which one is most basic?
The element showing highest oxidation state among first transition series is: