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

Explanation

Consider a reaction
`R to` product
Let [R] be the concentration of reactant,
k is rate constant.
Rate of reaction proportional to zero power of concentration of R.
Rate = `(-d[R])/(dt) = k[R]^@`
`= k xx 1 " " [R]^@ = 1`
`d[R] = -kdt " " ....(4)`
Integrating both sides,
`int d[R] = - k int dt`
`[R] = - kt + I " " ....(5)`
where I is constant of integration.
The value of I be Initial concentration of `[R]_0` at time within
`[R]_0 = - k xx 0 + I " " t = 0`
Putting value of I
`[R] = - kt + [R]_0 " ".....(6)`
Taking (5) and (6)
`kt = ([R]_0 - [R])/(t) " " {{:(int log x = 1/x + c),("where C is constant"):}}`