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  4. Which of the following graphs represent a first order reaction (a= initial concentration of reactant, x= concentration of reactant consumed, t= time ) ?

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Q. Which of the following graphs represent a first order reaction $(a=$ initial concentration of reactant, $x=$ concentration of reactant consumed, $t=$ time $)$ ?Chemistry Question Image

TS EAMCET 2018

Solution:

For a first order reaction

Rate $=-\frac{\Delta[A]}{\Delta l}=k[A]$

It is a straight line plot with negative slope when concentration of reactant is considered as in (i) and half-life for first order is independent from concentration, as in plot (ii).