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A reaction occurs in parallel paths. For each path having ener

Question

A reaction occurs in parallel paths. For each path having energy of activation as $E, 2 E, 3 E, ... n E$ and rate constant $K, 2 K, 3 K, .... n K$ respectively. If $E_{A V} = 3 E$ , then find out the value of $n$ .

4

5

6

None of these

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Eleanor Discussed

A reaction occurs in parallel paths. For each path having energy of activation as

E, 2 E, 3 E, ... n E

and rate constant

K, 2 K, 3 K, .... n K

respectively. If

E_{A V} = 3 E

, then find out the value of

n

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Text solutionVerified

The average energy is given by the expression

3 E = \frac{E + 2 E + 3 E + ... + n E}{n} = \frac{n ( n + 1 )}{2 n} E

Hence,

\frac{n + 1}{2} = 3

6 = n + 1

n = 5

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Question Text	A reaction occurs in parallel paths. For each path having energy of activation as $E, 2 E, 3 E, ... n E$ and rate constant $K, 2 K, 3 K, .... n K$ respectively. If $E_{A V} = 3 E$ , then find out the value of $n$ .
Answer Type	Text solution:1
Upvotes	150