Give relation between half reaction time $\left({\mathrm{t}}_{1/2}\right)$ and initial concentration of reactant for (n-1) order reaction.

${\mathrm{t}}_{\frac{1}{2}} =\frac{2^{(\mathrm{n}-1)}-1}{(\mathrm{n}-1){\left[\mathrm{a}\right]}^{(\mathrm{n}-1)}{\mathrm{K}}_{\mathrm{n}}}$where "n" = order of reaction

substituting (n-1) and simplifying ${\mathrm{t}}_{\frac{1}{2}}\infty {\left(\mathrm{a}\right)}^{(2-\mathrm{n})}$ where a = initial concentration