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Q. A sample of $ HI_{(g)} $ is placed in a flask at a pressure of $ 0.2 $ atm. At equilibrium, partial pressure of $ HI_{(g)} $ is $ 0.04 $ atm. What is $ K_p $ for the given equilibrium ?
$ 2HI_{(g)} \rightleftharpoons H_{2(g)} +I_{2(g)} $

J & K CETJ & K CET 2018Equilibrium

Solution:

image
$0.2-2x=0.04$
$\Rightarrow 2x=0.2-0.04$
$x=0.08\,atm$
$K_{p}=\frac{\left(0.08\right)\left(0.08\right)}{\left(0.04\right)^{2}}=4$