A process was found to have a half-life that depended on the initial concentration of reactant. For this process, which one of the following plots will be linear?
1, ln [A] vs t
2, 1/[A] vs t
3, both of these are linear
4, neither of these is linear
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I think option C is right answer
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(4)Neither of these is linear.
The reaction here belongs to the Zero Order reactions. In zero order reactions and second order reactions the half life is dependent on the initial concentration of the reactant.
- In zero order reactions, the half life is directly proportional to the initial concentration of the reactant. So its graph will be a straight line (linear).
- In second order reactions, the half life is inversely proportional to the initial concentration of the reactant. Its graph will be a hyperbola.
The equation for zero order reaction is:
At=A-Kt
where,
At-final concentration of the reactant
A-initial concentration of the reactant
K-rate constant or velocity of reaction
t-time taken
The half life for zero order reaction is:
=
The half life for second order reaction is:
Thus, the graph between and
is linear and not between ln [A] and t or 1/[A] and t.
The correct answer is (4) neither of these is linear.
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