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For zero order reaction which is true?

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$t_{1 / 2} \propto$ initial concentration of reactant.

The rate constant is dimensionless.

A plot of concentration of reactant vs time is a straight line with slope equal to K

Amount of reactant remain same throughout

answer is C.

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Detailed Solution

We have

$Rate = k [k]^{0} = k$

$mol L^{1} s^{1} = k$

$t_{1 / 2} = \frac{[c]}{2 k} \Rightarrow {t_{1 / 2}}^{α} [6]$

$\begin{aligned} - \frac{d c}{d t} = k [c]^{0} = k \\ - d c = k d t \end{aligned}$

$\int_{c_{0}}^{c_{t}} d c = k \int_{0}^{c} d x$

$\begin{aligned} [c_{t} - c_{o}] = k \cdot (t - 0) \end{aligned}$

$k = \frac{1}{t} [c_{0} - c_{t}]$

$y = m x + c$

so, we can says that $t_{1 / 2} \propto$ initial concentration of reactant.

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