Final answer:
The molar mass of the diprotic acid H2X, after titration with a NaOH solution, has been calculated to be 214.3 g/mol based on the stoichiometry of the reaction and the amounts of reactants used.
Step-by-step explanation:
To find the molar mass of the diprotic acid H2X, we first need to determine the number of moles of NaOH reacted, which can be calculated from the volume and molarity of the NaOH solution:
# moles NaOH = (35.0 mL)(0.400 M) = (0.035 L)(0.400 mol/L) = 0.0140 mol NaOH
Since H2X is diprotic, each mole of H2X will react with two moles of NaOH. Thus, the moles of H2X reacted will be half the moles of NaOH:
# moles H2X = 0.0140 mol NaOH / 2 = 0.00700 mol H2X
We can now find the molar mass by dividing the mass of the H2X sample by the moles of H2X:
Molar Mass = mass of H2X / moles of H2X = 1.50 g / 0.00700 mol = 214.3 g/mol