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  3. Chemistry
  4. The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700-1000 K. The data has been analysed by plotting In k vs (103/ T ) graph. The value of activation energy for the reaction is kJ mol -1. (Nearest integer) (Given: R =8.31 J K -1 mol -1 )

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Q. The rate constants for decomposition of acetaldehyde have been measured over the temperature range $700-1000\, K$. The data has been analysed by plotting In $k$ vs $\frac{10^{3}}{ T }$ graph. The value of activation energy for the reaction is ____ $kJ\, mol ^{-1}$. (Nearest integer) (Given : $R =8.31\, J \, K ^{-1}\, mol ^{-1}$ )Chemistry Question Image

JEE MainJEE Main 2022Chemical Kinetics

Solution:

$\ln k =\ln A -\frac{ Ea }{10^{3} RT } \times 10^{3}$
$= nA +\frac{10^{3}}{ T }\left[-\frac{ Ea }{10^{3} RT }\right]$
From the graph
$\frac{- Ea }{10^{3} \times R }=-18.5 $
$ Ea =153.735\, kJ / mol$
$\sim 154$