A reaction A→B is of the order 2.5 with respect to A. The half-life of the reaction will be given

# A reaction $A\to B$ is of the order 2.5 with respect to A. The half-life of the reaction will be given

1. A

$0.693/k$

2. B

$1/\left(\left[\mathrm{A}{\right]}_{0}k\right)$

3. C

$k/\left[\mathrm{A}{\right]}_{0}$

4. D

$\left[1/\left(1.5k\left[\mathrm{A}{\right]}_{0}^{1.5}\right)\right]\left({2}^{1.5}-1\right)$

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### Solution:

Hence,

Thus

For

Hence

$\frac{1}{{\left(\left[\mathrm{A}{\right]}_{0}/2\right)}^{1.5}}-\frac{1}{\left[\mathrm{A}{\right]}_{0}^{1.5}}=1.5k{t}_{0.5}⇒{t}_{0.5}=\frac{1}{1.5k\left[\mathrm{A}{\right]}_{0}^{1.5}}\left({2}^{1.5}-1\right)$

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