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Which of the following expression is true for the system $large 2S{O_{2left( g right)}} + {O_{2left( g right)}}, rightleftharpoons ,2S{O_3}_{left( g right)}$ ?

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$K_{p} {[K_{c}]}^{- 1} < 1$

$K_{p} [K_{c}] > 1$

$K_{p} {[K_{c}]}^{- 1} = 1$

K_p < K_c

answer is A.

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Detailed Solution

$2S{O_{{3_{left( g right)}}}} + {O_{{2_{left( g right)}}}} rightleftharpoons 2S{O_{{3_{left( g right)}}}}$

Δn_g = n_P(g) - n_R(g)

= 2 - 3

= -1

$large because$ K_P = K_C (RT)^-1

$large therefore$ $large frac{{{K_P}}}{{{K_C}}} < 1$

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