Question

For a reaction, the value of slope of a plot in $lnK\to \frac{1}{T}=$ ______.

• A. $-\frac{Ea}{R}$
• B. $-Ea$
• C. $-\frac{Ea}{2.303}$
• D. $-\frac{Ea}{2.303R}$

Answer 1

The correct option is A $-\frac{Ea}{R}$

According to Arrehenius theory the rate constant and temperature are related as:

$k=e^{-E_a/RT}$

or $lnk=\frac{-E_a}{RT}$

for straight line equation as $y=mx+c$

we get:

$y=lnk$ and $x=\frac{1}{T}$ and thus $m=\frac{-E_a}{R}$

thus option A is correct