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A solution of HCl with a volume of 25 mL is titrated to the endpoint with 0.250M NaOH. If it takes 34.56 mL of NaOH to reach the endpoint, calculate the concentration of the HCl solution.

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Final answer:

The concentration of the HCl solution is 0.3456 M.

Step-by-step explanation:

In this titration, HCl is being titrated with NaOH to the endpoint. The balanced chemical equation for the reaction is:

HCl(aq) + NaOH(aq) → NaCl(aq) + H₂O(l)

From the given information, we know that 34.56 mL of the 0.250 M NaOH solution is required to reach the endpoint. Using this information, we can calculate the number of moles of NaOH used in the reaction:

Number of moles of NaOH = volume of NaOH (L) × concentration of NaOH (M)

Number of moles of NaOH = 0.03456 L × 0.250 M = 0.00864 mol NaOH

Since the reaction is 1:1 between HCl and NaOH, the number of moles of HCl is also 0.00864 mol.

Next, we can calculate the concentration of the HCl solution:

Concentration of HCl = number of moles of HCl / volume of HCl (L)

Concentration of HCl = 0.00864 mol / 0.025 L = 0.3456 M

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