In a fixed$-$volume batch reactor, reactant A decomposes according to the following homogeneous reaction equation: A $->$ P

The concentration of A in the reactor $($CA$)$ measured at various times t is presented as follows:

$\backslash$table$[[$Run$,1,2,3,4,5],[$t$($min$),0,100,200,300,400],[\backslash$table$[[$C$\_($A$)],[($mol$/$m$^(3))]],1000,500,333,250,200]]$

Determine the reaction order and the value of the reaction rate constant $($kA$)$ using the method of

a$.$ Integral

b$.$ Part$-$Time