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A buffer is prepared by mixing 50.0 mL of 0.050 mol/L, sodium bicarbonate, NaHCO

ID: 954838 • Letter: A

Question

A buffer is prepared by mixing 50.0 mL of 0.050 mol/L, sodium bicarbonate, NaHCO3, and 10.7 mL of 0.10 mol/L, NaOH.

a) What is the pH

b) What mass of HCl must be added to 25.0 mL of the buffer to change the pH by 0.07 units?

Be sure to answer all parts A buffer is prepared by mixing 50.0 mL of 0.050 mol/L sodium bicarbonate, NaHCO, and 10.7 mL of 0.10 mol/L NaOH. (Ka = 4.7 x 10-11) (a) What is the pH? pH 10.2 (b) What mass of HCl must be added to 25.0 mL of the buffer to change the pH by 0.07 units? g HCI

Explanation / Answer

a) PKa = -logKa = -log(4.7*10^(-11)) = 10.33

No of mol of NaHCO3 = 50/1000*0.05 = 0.0025 mol

No of mol of NaOH = 10.7/1000*0.1 = 0.00107 mol


pH = pka + log(salt/acid)

   = 10.33+log(0.00107/(0.0025-0.00107))

    = 10.2

b) pH = pka + log(salt-HCl/acid+HCl)

   10.2-0.07 = 10.33+log((0.00107-x)/(0.00143+x))

x = 0.0001 mol

50+10.7 = 60.7 ml

for 60.7 ml of buffer = 0.0001 mol HCl needed

    25 ml of buffer   = 0.0001*25/60.7 = 4.12*10^-5 mol

mass of HCl = 4.12*10^-5*36.5 = 0.0015038 grams