Answer :
The HCl concentration is 0.7755 M.
To determine the HCl concentration, you can use the concept of molarity and the balanced chemical equation for the reaction between NaOH and HCl:
NaOH + HCl → NaCl + H₂O
Since the reaction has a 1:1 stoichiometry, the moles of NaOH required for the titration will equal the moles of HCl in the sample. Use the formula:
moles = molarity × volume
First, find the moles of NaOH:
moles_NaOH = 0.150 M × 51.7 mL × (1 L / 1000 mL)
= 0.007755 moles
Since the moles of NaOH and HCl are equal, the moles of HCl are also 0.007755 moles.
Now, use the given volume of the HCl sample (10.0 mL) to find its concentration:
molarity_HCl = moles_HCl / volume_HCl
molarity_HCl = 0.007755 moles / (10.0 mL × (1 L / 1000 mL))
molarity_HCl = 0.7755 M
Thus, the HCl concentration is 0.7755 M.
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