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Question

Equimolar concentration of H2 & I2 are heated equilibrium in a 1 liter flask at equilibrium the forward and backward rate constants are found to be equal what percentage of initial concentration of H2 has reached at equilibrium

A
33%$
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B
66%$
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C
50%$
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D
40%$
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Solution

The correct option is A 33%$
Reaction is --->
if Initially we have 100 % of [H2] then, we can assume that x % get reacted so 2x % of HI will be formed by the stoichiometry.

now, rate constant , k =
we also know,
where is forward rate constant and backward rate constant.

a/c to question,
so, k = 1 =

and also given, [H2] = [I2]
so, k = 1 =
1 = (2x)²/(100- x)²
2x = (100 - x)
x = 33.33 %

hence, answer is 33.33%


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