JEE MainChemistryModeratePhysical Chemistry

The equilibrium
${SO}_{2}(g) + \frac{1}{2}O_{2}(g) \rightleftharpoons {SO}_{3}(g)$ is
established in a container of 4L at a particular temperature. If the
number of moles of SO_2, O_2 and SO_3 at equilibrium are 2, 1 and 4
respectively then find the value of equilibrium constant.

Show answer and solution

{SO}_{2}(g) + \ \ \ \ \ \ \frac{1}{2}O_{2}(g)\ \ \ \rightleftharpoons \ \ \ \ {SO}_{3}(g)

No. of mole 2 1 4
Conc.

\frac{2}{4}

\frac{1}{4}

\frac{4}{4}

K_{C} = \frac{\left\lbrack {SO}_{3} \right\rbrack}{\left\lbrack {SO}_{2} \right\rbrack\left\lbrack O_{2} \right\rbrack^{1/2}} = \frac{1}{(1/2)(1/4)^{1/2}} = \frac{1}{(1/2) \times (1/2)} = 4

Source: Grass-G / CH-24 Chemistry Paper 31 Dec..docx

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