1.

For a zero order reaction of the type `A rarr` products, the integrated rate equation may be expressed asA. `k = ([A]_(0)-[A])/(2).t`B. `k = ([A]_(0)-[A])/(2t)`C. `k = ([A]-[A]_(0))/(t)`D. `k = ([A]_(0)-[A])/(t)`

Answer» Correct Answer - D
Consider the reaction
`Ararrprocts`
Rate `=-(d[A])/(dt)=K[A]^(@)`
As any equantity raised to power zero is unity
Rate `=-(d[A])/(dt)=Kxx1`
or `d[A]=-Kdt`
Intergrating both sides
`[A]=-KtI`
where `I` is the constant of integration. At `t=o` , the concentration of the reaction `A=[A]_(0)` , where `[A]_(0)` is intial concentration of the reaction.
Substitution in previous equation, we get
`[A]_(0)=-K(0)+I`
or `[A]_(0)=I`
Substituting the value of `I` in the equation `(1)` , we get
`[A]=-Kt+[A]_(0)`
Further simplifying equation `(2)` , we get the rate constant, `K` as
`K=([A]_(0)-[A])/(t)`


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