Acid/Base Equilibria pH?

If someone could tell me how to do these sorts of problems, it would be great!

A 0.200 M solution of a weak base in water has a pH = 10.40 at 25 C. Calculate the value of Kb for this base.

I know that pH = pKa + log[A/HA] but I cant figure out the answer.

Formic acid, HCO2H, has an ionization constant with the value: Ka= 1.76 x 10^-4. Calculate the value of pKb for the conjugate base of formic acid.

I don't know how to get from Ka to Kb. I know that Ka x Kb = Kw

The ionization constant, Ka, for benzoic acid, HC7H502, is 6.28 x 10^-5 . What is he pH of a 0.15 molar solution of this acid?

Thanks to whoever can help me! Greatly appreciated.

Comments

  • A 0.200 M solution of a weak base in water has a pH = 10.40 at 25 C. Calculate the value of Kb for this base.

    I know that pH = pKa + log[A/HA] but I cant figure out the answer.

    Answer: You do not have a buffer solution therefore you cannot use the Henderson - Hasselbalch equation that you quote:

    If pH = 10.40 then

    pOH = 14.00-10.40 = 3.60

    [OH-] = 10^-pOH

    [OH-] = 10^-3.60

    Use Kb equation

    Kb = [OH-]² / [base]

    Kb = (10^-3.6)² / 0.200

    Kb = 6.31*10^-8 / 0.200

    Kb = 3.15*10^-7

    Formic acid, HCO2H, has an ionization constant with the value: Ka= 1.76 x 10^-4. Calculate the value of pKb for the conjugate base of formic acid.

    I don't know how to get from Ka to Kb. I know that Ka x Kb = Kw

    You know that Ka * Kb = 10^-14

    Kb = 10^-14 / Ka

    Kb = 10^-14 / ( 1.76*10^-4)

    Kb = 5.68*10^-11

    pKb = - log Kb

    pKb = -log ( 5.68*10^-11)

    pKb = 10.25

    The ionization constant, Ka, for benzoic acid, HC7H502, is 6.28 x 10^-5 . What is he pH of a 0.15 molar solution of this acid?

    Use Ka equation to calculate [H+]

    Equation:

    Ka = [H+]² / [acid]

    6.28*10^-5 = [H+]² / 0.15

    [H+]² = (6.28*10^-5)* 0.15

    [H+]² = 9.42*10^-6

    [H+] = 3.07*10^-3

    pH = -log [H+]

    pH = -log ( 3.07*10^-3)

    pH = 2.51

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