Question #58559

Determine the pH of the equivalence point for a reaction in which 0.100 mol/L NaOH neutralizes 10.0 mL of 0.250 mol/L HF.

Expert's answer

Question #58559, Chemistry, Other

Determine the pH of the equivalence point for a reaction in which 0.100 mol/L NaOH neutralizes 10.0 mL of 0.250 mol/L HF.

Answer:

HF is weak acid and NaOH is strong base. Alkaline pH is anticipated as a result of their reaction at the equivalence point.

Moles HF = 0.0100 L × 0.250 mol/L = 0.00250

Moles NaOH required to reach the equivalence point = 0.00250

Volume NaOH = 0.00250 mol/ 0.100 mol/L = 0.0250 L

Total volume = 0.0250 + 0.0100 = 0.0350 L

The reaction of neutralization is


HF+NaOH=NaF+H2O\mathrm{HF} + \mathrm{NaOH} = \mathrm{NaF} + \mathrm{H_2O}


Moles NaF formed = 0.00250

NaF is a strong salt: NaF = Na⁺ + F⁻


[F]=0.00250 mol/0.0350 L=0.0714 M[F^-] = 0.00250 \text{ mol} / 0.0350 \text{ L} = 0.0714 \text{ M}


The equilibrium is: F+H2OHF+OHF^- + H_2O \leftrightarrow HF + OH^-

Kb=Kw/Ka=1.0×1014/6.8×104=1.5×1011=x2/0.0714xK_b = K_w / K_a = 1.0 \times 10^{-14} / 6.8 \times 10^{-4} = 1.5 \times 10^{-11} = x^2 / 0.0714 - xx=[OH]=1.03×106 Mx = [\mathrm{OH^-}] = 1.03 \times 10^{-6} \text{ M}pOH=5.99pOH = 5.99pH=145.99=8.01pH = 14 - 5.99 = 8.01


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