NCERT Class XI Chemistry Equilibrium Solutions

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Question : 16
Total: 73
What is the equilibrium concentration of each of the substances in the equilibrium when the initial concentration of ICl was 0.78 M?
2ICl(g)I2(g)+Cl2(g) ; Kc = 0.14
Solution:  
2ICl(g)I2(g)+Cl2(g) ; Kc = 0.14
Initialmolarconc.0.7800
Eqm.molarconc.0.782xxx

Applying law of chemical equilibrium,
Kc =
[I2][Cl2]
[ICl]2
⇒ 0.14 =
x.x
(0.782x)2

x2 = 0.14 (0.782x)2
or
x
0.782x
= 0.14 = 0.374 or x = 0.292 - 0.748 x
or 1.748x = 0.292 or x = 0.167
Hence at equilibrium, [I2] = [Cl2] = 0.167 M
[ICl] = 0.78 – 2 × 0.167 = 0.446 M
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