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A one litre vessel at equilibrium contain 2 mole each of $S O_{2}, S O_{3}$ and one mole of $O_{2} . [2 S O_{2} + O_{2} ⇌ 2 S O_{3}]$ . To increase the conc. of $S O_{3}$ to $2 M$ to $3 M$ the number of mole of $O_{2}$ to be added to the system at the same temperature is

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a

0.5

b

1.25

c

8.5

d

3.5

answer is B.

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Detailed Solution

$2 {SO}_{2} + O_{2} ⇌ 2 {SO}_{3} 2 1 2 At Equilibrium K_{C} = \frac{{({SO}_{3})}^{2}}{{({SO}_{2})}^{2} (O_{2})} = \frac{2^{2}}{2^{2} x 1} = 1 K_{C} = \frac{{({SO}_{3})}^{2}}{{({SO}_{2})}^{2} ({SO}_{2})} = \frac{{(3)}^{2}}{(2^{2}) (O_{2})} = 1 [O_{2}] = \frac{9}{4} = 2.25 Extra to be added = 1.25 moles$

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A one litre vessel at equilibrium contain 2 mole each of SO2,SO3 and one mole of O2.[2SO2+O2⇌2SO3] . To increase the conc. of SO3 to 2M to 3 M the number of mole of O2 to be added to the system at the same temperature is