The OH– concentration in a mixture of 5.0 mL of 0.0504 M NH4Cl and 2 mL of 0.0210 M NH3 solution is x × 10–6 M. The value of x is………….[Given Kw = 1 × 10–14 and Kb = 1.8 × 10

Engineering

Chemistry

Buffer Solution

Question

The OH^– concentration in a mixture of 5.0 mL of 0.0504 M NH₄Cl and 2 mL of 0.0210 M NH₃ solution is x × 10^–6 M. The value of x is………….

[Given K_w = 1 × 10^–14 and K_b = 1.8 × 10^–5]

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[NH₄Cl] = [NH₄⁺] = 0.0504 M V = 5.0 mL

[NH₃] = 0.0210 M V = 2.0 mL

$K_{b} = \frac{[{NH}_{4}^{+}] [{OH}^{-}]}{[{NH}_{3}]}$

$[{OH}^{-}] = \frac{K_{b} \times [{NH}_{3}]}{[{NH}_{4}^{+}]} = \frac{1 .8 \times 10^{- 5} \times 0 .0210 \times 2}{0 .0504 \times 5} = 3 \times 10^{- 6} M$