Question

Equilibrium constant question?

Answer 1

`["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"`