Final answer:
For 1.750g of KHP, 29 mL of 0.3 M NaOH is required to reach the endpoint of the titration, corresponding to option D. This is calculated using stoichiometry and the one-to-one mole ratio of KHP to NaOH, considering the molar mass of KHP is approximately 204.22 g/mol.
Step-by-step explanation:
To calculate the volume of 0.3 M sodium hydroxide (NaOH) needed to reach the endpoint of the titration with 1.750g of potassium hydrogen phthalate (KHP), we can use stoichiometry. KHP has a molar mass of roughly 204.22 g/mol, and the reaction between KHP and NaOH is a one-to-one mole ratio:
KHP (C₈H₅KO₄) + NaOH → NaKP (C₈H₄KO₄) + H₂O
First, we find the moles of KHP:
Moles of KHP = mass of KHP / molar mass of KHP = 1.750 g / 204.22 g/mol = 0.00857 mol
Since the mole ratio of KHP to NaOH is 1:1, we need 0.00857 mol of NaOH to reach the equivalence point. Next, we can calculate the volume of NaOH solution required:
Volume of NaOH = moles of NaOH / molarity of NaOH = 0.00857 mol / 0.3 mol/L
Volume of NaOH = 0.02857 L, which is 28.57 mL. Therefore, we round to the nearest milliliter, giving 29 mL as the answer.
Therefore, for 1.750g of KHP, 29 mL of 0.3 M NaOH is needed to reach the endpoint of the titration, corresponding to option D.