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Equilibrium — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistryEquilibrium5 Marks
Question
In a system compressing of A, B, C
$\text{A}(\text{s})\rightleftharpoons2\text{B}(\text{g})+3\text{C}(\text{g})$
It conc. of 'C' is increased by factor of 2, what will be the equilibrium concentration of 'B' with respect to its original value.
✓

Answer

$\text{K}=\frac{[\text{B}]^2[\text{C}]^3}{[\text{A}]}$ in first case ...(1)
$\text{K}=\frac{[\text{B}']^2[2\text{C}]^3}{[\text{A}]}$ in second case ...(2)
From (1) and (2)
$\frac{[\text{B}]^2[\text{C}]^3}{[\text{A}]}=\frac{[\text{B}']^2[2\text{C}]^3}{[\text{A}]}$
$\Rightarrow\Big[\frac{\text{B}}{\text{B}'}\Big]^2=\frac{8\text{C}^3}{\text{C}^3}=8$
$\Rightarrow\frac{[\text{B}]}{[\text{B}']}=\sqrt{8}=2\sqrt{2}$
$\Rightarrow[\text{B}']=\frac{1}{2\sqrt{2}}[\text{B}]$
The concentration of 'B' will become $\frac{1}{2\sqrt{2}}$ times of original value.

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