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Q. Calculate the value of $K_{c}$ for each of the following equilibria from the value of $K_{p}$ :
$CaCO3\left(\right.s\left.\right)\rightleftharpoons CaO\left(\right.s\left.\right)+CO2\left(\right.g\left.\right);K_{p}=167$ at $1073K$ . Calculate the value $100K_{c}$ ?

NTA AbhyasNTA Abhyas 2022

Solution:

$CaCO _{3}( s ) \rightleftharpoons CaO ( s )+ CO _{2}( g ) ; \quad K _{ p }=167$ at $1073 K$
$\Delta \text{n}_{\text{g}} = \text{n}_{\text{p}} - \text{n}_{\text{r}} = 1$
$K _{ c }=\frac{ K _{ p }}{( RT )^{\Delta n _{ g }}}=\frac{167}{0.0821 \times 1073}=1.89100 K _{ c }=189$