1. Tardigrade
  2. Question
  3. Chemistry
  4. The equilibrium constant at 298 K for a reaction A + B leftharpoons C + D is 100. If the initial concentration of all the four species were 1 M each, then equilibrium concentration of D (in mol L-1) will be :

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Q. The equilibrium constant at $298\, K$ for a reaction $A + B \rightleftharpoons C + D$ is $100$. If the initial concentration of all the four species were $1 \,M$ each, then equilibrium concentration of $D$ (in $mol \, L^{-1}$) will be :

JEE MainJEE Main 2016Equilibrium

Solution:

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$K _{ C }=\frac{[ C ][ D ]}{[ A ][ B ]}=\frac{(1+ x )^{2}}{(1- x )^{2}}=100$

$ \Rightarrow \frac{1+ x }{1- x }=10$

$ \Rightarrow 1+x=10-10 x $

$\Rightarrow 11 x=9 $

$ x=\frac{9}{11} $

$[ D ] =1+ x =1+\frac{9}{11} $

$=1.818 \,M$