The rate law equation for the reaction `A to B` is found to be `-(d[A])/(dt)=k[A]^(1//2)`
If `[A]_(0)` were the initial concentration of A, derive expressions for
(i) rate constant in the integrated form (ii) half-life period of the reaction

Explanation

To solve the given problem, we will derive the expressions for the integrated rate law and the half-life period of the reaction based on the rate law provided.

### Given:
The rate law for the reaction \( A \to B \) is given as:
\[ -\frac{d[A]}{dt} = k[A]^{1/2} \]
where \( [A]_0 \) is the initial concentration of \( A \).
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