1. Tardigrade
  2. Question
  3. Chemistry
  4. The slope of Arrhenius Plot ( ln k v / s (1/ T )) of first order reaction is -5 × 103 K. The value of E a of the reaction is. Choose the correct option for your answer. [. Given .R =8.314 JK -1 mol -1]

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Q. The slope of Arrhenius Plot $\left(\ln k\, v / s \frac{1}{ T }\right)$ of first order reaction is $-5 \times 10^{3} K$. The value of $E _{ a }$ of the reaction is. Choose the correct option for your answer. $\left[\right.$ Given $\left.R =8.314\, JK ^{-1} mol ^{-1}\right]$

NEETNEET 2021Chemical Kinetics

Solution:

$K = Ae ^{-\frac{E_{a}}{R T}}$
$\underset{y}{\ln K} = \underset{C}{\ln A} -\underset{m}{\frac{ E _{ a }}{ R }} \cdot \underset{x}{\frac{1}{ T }}$
Slope $=-\frac{ E _{ a }}{ R }$
$-\frac{ E _{ a }}{ R }=-5 \times 10^{3} K$
$E _{ a }=5 \times 8.314 \,J K ^{-1} mole ^{-1} \times 10^{3} K$