No.of milli moles of salt (sodium acetate) = (1 g) / (molar mass) x 1000
= (1 g) / (82.0343 g/mol) x 1000
= 12.19 milli moles
No.of milli moles of acid (acetic acid) = 100 mL x 0.100 M = 10 milli moles
No.of milli moles of hcl added = 1.80 mL x 10 M = 18 milli moles
Hence, Excess moles of acid = 18 - 12.19 = 5.81 milli moles
Total no.of moles of H+ in the solution = 5.81 + 10 = 15.81 milli moles
Concentration of H+ in the solution = (15.81) / (100 + 1.8 mL) = 0.1553 M
Therefore, pH of the solution will be :
pH = -log [H+]
pH = -log (0.1553)
pH = -(-0.809)
pH = 0.809 ------------ (**Answer**)
(in case of anything wrong/have any doubts, please reach out to me via comments. I will help you)
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