A 100.0-mL buffer solution is 0.175 M in HClO and 0.150 M in NaClO.
A/ What is the initial pH of this solution?
B/What is the pH after addition of 150.0 mg of HBr?
C/What is the pH after addition of 85.0 mg of NaOH?
A)
pka for = 7.53
For buffers,
pH = pka + log [base] /[acid]
pH = 7.53 + log [ 0.150 / 0.175]
pH = 7.46
B)
Number of moles of HBr = mass /molar mass
= 150 x 10^-3 g / 80.91 gmol-1
= 1.85 x 10^-3 mol
Similarly, Mol of HClO = 0.175 x 0.1 L
= 0.0175 mol
Total mol of acid = (1.85 x 10^-3 + 0.0175) mol = 0.01935 mol
Mol of Base = 0.15 M x 0.1 L = 0.015 mol
Mol of base after acid addition = ( 0.015 - 1.85 x 10^-3) mol
= 0.01315 mol
So, pH = 7.53 + log( ( 0.01315 /0.1 L ) / (0.01935 / 0.1 L))
pH = 7.36
C)
Mol of NaOH = 0.085 g / 40 gmol-1
= 0.0021 mol
Mol of base after addition of NaOH = 0.015 + 0.0021
= 0.0171 mol
Mol of acid after base addition = 0.0175 - 0.0021
=0.0154
So, pH = 7.53 + log ( ( 0.0171 mol / 0.1 L) / (0.0154 mol / 0.1 L))
pH = 7.57
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