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A 1.80 sample of the of the diprotic acid H₂X reacts completely with 46.7 mL of 0.350 M NaOH solution.

What is the molar mass of H₂X?
Provide your answer rounded to 3 significant figures.

1 Answer

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Final answer:

To find the molarity of the diprotic acid H2X from a titration with NaOH, calculate the moles of NaOH reacted, then find the moles of H2X by halving the NaOH amount due to the acid being diprotic. Divide the moles of H2X by the sample volume to obtain the molarity.

Step-by-step explanation:

The student is tasked with determining the molarity of a diprotic acid H2X after a titration with NaOH solution. In this titration analysis, the molarity of the NaOH is 0.350 M, and the total volume used is 46.7 mL. To find the molarity of H2X, first calculate the number of moles of NaOH reacted, which is 0.350 M multiplied by 0.0467 L. Since H2X is diprotic, it can accept two protons, meaning every mole of H2X will react with two moles of NaOH. The moles of H2X can be determined by halving the number of moles of NaOH used.

After finding the number of moles of H2X, the molarity can be calculated by dividing the moles of acid by the sample volume in liters. The final answer is expressed in molarity (M), which is moles per liter. Using the molecular weight of H2X can further convert this value into grams per liter if necessary.

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