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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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The correct answer is:
(i), (ii)
For a first order reaction
$$
\text { Rate }=-\frac{\Delta[A]}{\Delta t}=k[A]
$$
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).
$$
\text { Rate }=-\frac{\Delta[A]}{\Delta t}=k[A]
$$
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).
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