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Q. When $20\, g$ of $CaCO _{3}$ were put into $10\, L$ flask and heated to $800^{\circ} C , 35 \%$ of $CaCO _{3}$ remained unreacted at equilibrium, $K_{P}$ for decomposition of $CaCO _{3}$ is

Equilibrium

Solution:

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$\therefore $ Moles of $CO _{2}$ formed $=\frac{20 \times 65}{10^{4}}=1.3 \times 10^{-1}$

$\because P V=n R T$

$P_{ CO } =\frac{1.3 \times 10^{-1}}{10} \times 0.0821 \times 1073=1.145$ atm

Now $K_{p}=P_{ CO }=1.145$ atm