A certain reaction has the following general form:

$aAbB$

At a particular temperature and

$[A{]}_0=4\mathrm{.}40{10}^{-3}M,$ concentration versus time data were collected for this reaction, and a plot of $\frac{1}{A}$ versus time resulted in a straight line with a slope value of $+$

$3\mathrm{.}68{10}^{-2}\frac{L}{m}ol*s.$

Determine the rate law for this reaction.

$($Use $k$ for the rate constant.$)$

Rate $=$

Determine the integrated rate law for this reaction.

$\frac{1}{[A]}=$

Determine the value of the rate constant for this reaction.

Rate constant $=$

$L*mo{l}^{-1}*s^{-1}$