In the titration f 25mL of 0.1000M maleic acid, HOOC-CH=CH-COOH with 0.1000 M NaOH. Symbolizing the acid as H2M, we can write the two dissociation equilibra as:
H2M+H2O <-> HM^- +H3O^+ K(a1)=1.3x10^-2
HM^- +H2O <-> M^2- +H3O^+ K(a2)=5.9x10^-7
1) Determine the [H3O^+], total volume, Cacid, [Na], and [OH] when 5mL of NaOH were added
2) Determine the [H3O^+], total volume, Cacid, [Na], and [OH] when 25.5mL of NaOH were added
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1 ) 5 mL NaOH added
millimoles of acid H2A = 25 x 0.1 = 2.5
millimoles of NaOH = 5 x 0.1 = 0.5
total volume = 25 + 5 = 30 mL
H2A + OH- ----------------------> HA- + H2O
2.5 0.5 0 0
2.0 0 0.5
[C] acid = millimoles remains / total volume
= 2.0 / 30
= 0.067 M
[Na] = 0.5 / 30
= 0.0167 M
Ka1 = 1.3 x 10^-2
pKa1 = 1.89
pH = pKa1 + log [HA-/H2A]
pH = 1.89 + log (0.5 /2)
pH = 1.29
[H3O+] = 10^-1.29
= 0.051 M
[OH-] = Kw / [H3O+]
= 1.0 x 10^-14 / 0.051
= 1.95 x 10^-13 M
2 )
millimoles of NaOH = 0.1 x 25.5 = 2.55
H2A + 2NaOH ------------------> Na2A + H2O
2.5 2.55 0 0
0.0 0.05 2.5 0
total volume = 25 + 25.5 = 50.5 mL
[C] = 0.0 M
[Na+] = (0.05 + 2 x 2.5 ) / 50.5
= 0.1 M
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