JEE MAIN - Chemistry (2022 - 24th June Morning Shift - No. 16)

The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700 - 1000 K. The data has been analysed by plotting ln k vs $${{{{10}^3}} \over T}$$ graph. The value of activation energy for the reaction is ___________ kJ mol$$-$$1. (Nearest integer)

(Given : R = 8.31 J K$$-$$1 mol$$-$$1)

JEE Main 2022 (Online) 24th June Morning Shift Chemistry - Chemical Kinetics and Nuclear Chemistry Question 69 English

Answer
154

Explanation

JEE Main 2022 (Online) 24th June Morning Shift Chemistry - Chemical Kinetics and Nuclear Chemistry Question 69 English Explanation
$\ln \mathrm{k}=\ln \mathrm{A}-\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{RT}}$

$\therefore$ Slope of the graph $=-\frac{E_{a}}{R \times 10^{3}}=-18.5$

$\therefore E_{a}=18.5 \times 8.31 \times 1000 \simeq 154 \mathrm{~kJ} \mathrm{~mol}^{-1}$

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