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For the following equilibrium, \( N_{2} O_{4} \rightleftharpoons \) \( 2 N O_{2} \) in gaseous phase, \( N O_{2} \) is \( 50 \% \) of the total volume when equilibrium is set up. Hence, percent of dissociation of \( N_{2} O_{4} \) is:
- 50\%
- 25\%
- \( 66.66 \% \)
- 33.33\%
Correct answer: \( 66.66 \% \)
Solution
If 1 mole of N2O4 dissociates by x, the equilibrium amounts become N2O4 = 1−x and NO2 = 2x, so total moles = 1+x. Since NO2 is 50% of the mixture, 2x/(1+x)=1/2. Solving gives x=2/3, so the dissociation is 66.66%.
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