ChemistryWhich of the following expression is true for the system 2SO2( g)+O2( g)⇔2SO3( g)?

Which of the following expression is true for the system $2 {SO}_{2 (g)} + O_{2 (g)} \Leftrightarrow 2 {SO}_{3 (g)}$ ?

A
$K_{p} {(K_{c})}^{- 1} < 1$
B
$K_{p} {(K_{c})}^{- 1} > 1$
C
$K_{p} {(K_{c})}^{- 1} = 1$
D
$K_{p} = K_{c}$

Solution:

$2 {SO}_{2 (g)} + O_{2 (g)} \Leftrightarrow 2 {SO}_{3 (g)}$

For the above reaction, $K_{C} = \frac{[{SO}_{3}]^{2}}{[{SO}_{2}]^{2} [O_{2}]}$ and $K_{P} = \frac{[P_{{SO}_{3}^{2}}]}{[P_{{SO}_{2}^{2}}] [P_{O_{2}}]}$

$∆ n = 2 - 3 = - 1$ so K_p < K_c

$K_{p} {(K_{c})}^{- 1} < 1$

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