Derive an integrated rate equation for rate constant of a zero order reaction.

Explanation

(a) `{:("Let us consider the following reaction which is of zero order."),(" "R to P),("The rate is given by "),(" "(-d[R])/(dt) = k[R]^(0)),(" "(-d[R])/(dt) = k),(" "-d[R] = kdt),(" "d[r} = -kdt),("On integration"),(" "int d[R] = -k int dt),(" "[R] = -kt + I):}}......(i)`
`{:("Where , I is integration constant"),("When t = 0"),([R] = [R_0]"where " R_0 "is initial concentration of the reactant"),(" "[R_0] = - k xx 0 + I),(" "[R]_0 = I):}}`
`:. ` equation (i) becomes
`{:([R] = -kt + [R]_(0)),(kt = [R]_(0) - [R]),(k = ([R]_(0) - [R])/(t)):}}.......(ii)`
(b) (i) `k = Ae (-E a)/(RT) ` OR Any other suitable form of equation.
(ii) `t_(1//2) = ([R]_(0)]/(2k)`.