Question

For the plot of $lnk\text{versus}1/T$ of Arrhenius equation, the slope and y-intercept are respectively.

• A. $-E_a,lnA$
• B. $\frac{-E_a}{R},A$
• C. $\frac{-E_a}{R},2.303logA$
• D. $-E_a,RlnA$

Answer 1

The correct option is C $\frac{-E_a}{R},2.303logA$

Arrhenius equation:
$k=A{e}^{\frac{-E_a}{RT}}$

Taking natural log on both side,
$lnk=ln\left(A{e}^{\frac{-E_a}{RT}}\right)$
$lnk=lnA-\frac{E_a}{RT}$

$lnk=lnA-\frac{E_a}{R}\times \frac{1}{T}$

This equation is in the form of $y=mx+c$
The plot of $lnk\text{vs}\frac{1}{T}$ gives a strraight line with negative slope.
$\text{Slope}=-\frac{E_a}{R}$
$y-intercept=lnA$
$y-intercept=2.303logA$