Equilibrium constant question?

enter image source here

1 Answer
Sep 9, 2016

Answer:

#["HCl"] = "55 mol/L"#.

Explanation:

Your chemical equation is

#"2HBr" + "Cl"_2 ⇌ "2HCl" + "Br"_2#

#K_c = (["HCl"]^2["Br"_2])/(["HBr"]^2["Cl"_2]) = 1.0 × 10^4#

In your problem, the equilibrium concentrations are

#["HBr"] = "0.075 mol/L"#
#["Cl"_2] = "0.50 mol/L"#
#["Br"_2] = "0.037 mol/L"#

#(["HCl"]^2 × 0.037)/(0.075^2 × 0.50) = 4.0 × 10^4#

#["HCl"]^2 = (0.075^2 × 0.50 × 4.0 × 10^4)/0.037 = 30400#

#["HCl"] = "55 mol/L"#