Write the expressions for K _ C and K _ p and the relationship be… - Vidyadip

Question

Write the expressions for $K _{ C }$ and $K _{ p }$ and the relationship between them for the equilibrium reaction,
$2 A _{( g )}+ B _{( g )} \rightleftharpoons 3 C _{( g )}+2 D _{( g )}$

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Answer

$\begin{array}{lc}2 A _{( g )}+ B _{( g )} \rightleftharpoons 3 C _{( g )}+2 D _{( g )} \\ K _{ P }=\frac{\left( P _{ C }\right)^3 \times\left( P _{ D }\right)^2}{\left( P _{ A }\right)^2 \times\left( P _{ B }\right)} & K _{ C }=\frac{[ C ]^3[ D ]^2}{[ A ]^2[ B ]} \\ K _{ P }= K _{ C }( RT )^{\Delta n } & \text { } \\ K _{ P }= K _{ C }( RT )^2 & {[\because \Delta n =(3+2)-(2+1)=2]}\end{array}$

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