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ChemistryChemical KineticsSecond & nth Order ReactionsEasy2 minPYQ_2026

ChemistryEasysingle choice

What is the slope for a first-order reaction plot of $lo g [A]_{0} / [A]_{t}$ vs time $(t)$ ?

Options:

Answer:

Solution:

For a first-order reaction, the integrated rate law is given by:

$k = \frac{2.303}{t} lo g \frac{[ A ] _{0}}{[ A ] _{t}}$

Rearranging the equation to the form of a straight line $y = m x + c$ :

$lo g \frac{[ A ] _{0}}{[ A ] _{t}} = \frac{k}{2.303} t$

Comparing this with $y = m x + c$ , where $y = lo g \frac{[ A ] _{0}}{[ A ] _{t}}$ and $x = t$ , we get:

Slope $(m) = \frac{k}{2.303}$

Answer: slope $= k /2.303$

Stream:MHT_CETSubject:ChemistryTopic:Chemical KineticsSubtopic:Second & nth Order Reactions

⏱ 2mℹ️ Source: PYQ_2026

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