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Q.

In the equilibrium ${SO}_{2} (g) + O_{2} (g) ⇌ 2 {SO}_{3} (g)$ the partial pressure of ${SO}_{2}, O_{2}$ and SO₃are 0.662,0.10 and 0.331atm respectively What should be the partial pressure of oxygen so that the equilibrium concentrations of SO₂ and SO₃ are equal?

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a

1.0 atm

b

0.4 atm

c

0.8 atm

d

0.25 atm

answer is A.

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Detailed Solution

$k_{p} = \frac{{(P_{{SO}_{3}})}^{2}}{{(P_{{SO}_{2}})}^{2} {(P_{O_{2}})}^{1}} = \frac{0.331 \times 0.331}{0.662 \times 0.662 \times 0.1} = \frac{5}{2}$

If [SO₃]=[SO₂] then

$K_{p} = \frac{1}{P_{O_{2}}} \Rightarrow P_{O_{2}} = \frac{1}{K_{p}} = \frac{2}{5} = 0.4$

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In the equilibrium SO2(g)+O2(g)⇌2SO3(g) the partial pressure of SO2,O2 and SO3 are 0.662,0.10 and 0.331atm respectively What should be the partial pressure of oxygen so that the equilibrium concentrations of SO2 and SO3 are equal?