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A graph between $1/[A]^2$ vs t is plotted below where [A] is conc of [A] at time t and $[A_o]$ is initial conc and K is the rate constant of a $Rx^n$ $nA\rightarrow$ product. What is the half life for the $Rx^n(t_{\large\frac{1}{2}})$

$(a)\;6\times 10^{-5}\qquad(b)\;6\times 10^5\qquad(c)\;3\times 10^5\qquad(d)\;3\times 10^{-5}$

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$[A]^{-n+1}=[A]^{-2}$
$n=3$
$(3-1)k=20\times 10^{-6}$
$K=10\times 10^{-6}$
$K=10^{-5}$
$t_{\large\frac{1}{2}}=\frac{1}{K(n-1)}\bigg[\frac{2^{n-1}-1}{[A_o]^{1-n}}\bigg]$
$\Rightarrow \large\frac{1}{10^{-5}(2)}\bigg[\frac{2^2-1}{(2)^{1-3}}\bigg]$
$\Rightarrow \large\frac{3\times 4\times 10^5}{2}$
$\Rightarrow 6\times 10^5$
Hence (b) is the correct answer.
answered Dec 12, 2013 by sreemathi.v
 

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