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Characteristics of Equilibrium Constant

At a particul...

Question

At a particular temperature, the equilibrium concentrations of the substances in the previous question are as follows: $[N O_{2} C l]$ = 0.5 M, $[C l_{2}]$ = 0.3 M, $[N O_{2}]$ = 0.2 M. What is the value of the equilibrium constant for this reaction?

A

2.1

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B

0.48

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C

0.0357

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D

20.83

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E

208.83

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Solution

The correct option is C 20.83
The reaction is
$2 N O_{2} C l \to 2 N O_{2} + C l_{2}$
The equilibrium constant
$K = \frac{[N O_{2} C l]^{2}}{[N O_{2}]^{2} [C l_{2}]}$
$K = \frac{(0.5)^{2}}{(0.2)^{2} \times 0.3} = 20.83$

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