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(I) Write the Mathematical Expression Relating to the Variation of the Rate Constant of a Reaction with Temperature. (Ii) How Can You Graphically Find the Activation Energy - Chemistry (Theory)

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Question

(i)

Write the mathematical expression relating to the variation of the rate constant of a reaction with temperature. 
(ii)

How can you graphically find the activation energy of the reaction from the above expression?
(iii)

The slope of the line in the graph of log k (k = rate constant) versus `1/"T"` is -5841. Calculate the activation energy of the reaction.

Answer in Brief

Solution

(i)

`"k" = "Ae"^(- ("E"_"a")/("RT"))`

k = rate constant

A = collision factor

Ea = activation energy

(ii)

Slope = -`"E"_"a"/(2.303"R")`

(iii)

∴ Ea = – 2.303 × slope × R
= – 2.303 × – 5841 × 8.314
= 111838.4 J mol-1
= 111.8 KJ mol-1

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Order of a Reaction - Characteristics of First Order Reaction
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2013-2014 (March) Set 1
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