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NCERT Class XI Chemistry Equilibrium Solutions

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Question : 22
Total: 73
Bromine monochloride, BrCl decomposes into bromine and chlorine and reaches the equilibrium :
2BrCl(g) ⇌ Br2(g)+Cl2(g)
For which Kc = 32 at 500 K. If initially pure BrCl is present at a concentration of 3.3 × 10–3‌mol‌L–1, what is its molar concentration in the mixture at equilibrium?
Solution:  
2BrCl(g) ⇌ Br2(g)+Cl2(g)
Initial3.30×10−3‌mol‌L−100
At‌eqm.(3.30×10−3−x)
x
2
x
2

Kc =
(
x
2
)(
x
2
)
(3.30×10−3−x)2
 = 32 (Given)
∴
x2
4(3.30×10−3−x)2
 = 32 or ,
x
2(3.30×10−3−x)
 = √32 = 5.66
or, x = 11.32 (3.30 × 10–3 – x) or, 12.32x = 11.32 × 3.30 × 10–3 or, x = 3.0 × 10–3
∴ At eqm., [BrCl] = (3.30 × 10–3 – 3.0 × 10–3) = 0.30 × 10–3 = 3.0 × 10–4‌mol‌L–1
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