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Mole Concept and Avogadro's Number

mixture of SO...

Question

mixture of SO3, SO2 and O2 gases is maintained at equilibrium in 10 litre flask at a temp in which Kc for the reaction 2SO2 + O2 gives 2SO3. Kc= 100 .at equilibrium-
1. if no. of moles of SO3 and SO2 in flask are same then how many moles of O2 are present.
2.no. of moles of SO3 is twice of SO2, then how many moles of O2 are present.

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Solution

1. We know,at equilibrium ,

K_c = $\frac{[S O_{3}]^{2}}{[S O_{2}]^{2} [O_{2}]} = 100$
As moles of SO₂ is equal to that of SO₃ ,
[SO₂] = [SO₃]
[O₂] = $\frac{1}{100}$ $\frac{m o l e s o f S O_{3}}{m o l e s o f S O_{2}} = 2 W e a g a i n h a v e, K_{c} = \frac{[S O_{3}]^{2}}{[S O_{2}]^{2} [O_{2}]} = 100 (\frac{m o l e s o f S O_{3}}{m o l e s o f S O_{2}})^{2} (\frac{10}{m o l e s o f O_{2}}) = 100 2^{2} \times \frac{10}{m o l e s o f O_{2}} = 100 m o l e o f O_{2} = 0.4$
$\frac{M o l e o f O_{2}}{10} = \frac{1}{100} (v o l = 10 L) M o l e o f O_{2} = 0.1$
2. Further,if moles of SO₃ are twice that of SO₂,

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