A 25 mL solution of .5M NaOH is titrated until neutralization into a 50mL sample of HCl. What was the concentration of HCl?

mLNaOH x MNaOH = mLHCl x MHCl

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To find the concentration of HCl, you can use the principle of stoichiometry and the balanced chemical equation for the reaction between NaOH and HCl:

NaOH + HCl -> NaCl + H2O

Let's calculate the number of moles of NaOH used in the titration:

moles of NaOH = volume of NaOH solution (in L) x molarity of NaOH
= 0.025 L x 0.5 mol/L
= 0.0125 mol

Since the balanced chemical equation shows a 1:1 ratio between NaOH and HCl, the moles of NaOH used will be equal to the moles of HCl present in the 50 mL HCl sample.

moles of HCl = moles of NaOH
= 0.0125 mol

Now, let's calculate the concentration of HCl:

concentration of HCl = moles of HCl / volume of HCl solution (in L)
= 0.0125 mol / 0.05 L
= 0.25 mol/L

Therefore, the concentration of HCl is 0.25 M.

To determine the concentration of HCl, we can use the concept of stoichiometry and the balanced chemical equation for the neutralization reaction between NaOH and HCl.

The balanced equation for the reaction is:

NaOH + HCl -> NaCl + H2O

From the balanced equation, we can see that the mole ratio between NaOH and HCl is 1:1. This means that for every mole of NaOH, there is one mole of HCl.

Given that the NaOH solution has a concentration of 0.5M and a volume of 25 mL, we can calculate the number of moles of NaOH using the formula:

moles = concentration × volume

moles of NaOH = 0.5M × 0.025L = 0.0125 moles

Since the mole ratio between NaOH and HCl is 1:1, the number of moles of HCl present in the solution is also 0.0125 moles.

Now, let's calculate the concentration of HCl by dividing the number of moles of HCl by the volume of the HCl solution:

concentration of HCl = moles of HCl / volume of HCl solution

The volume of the HCl solution is given as 50 mL, so we need to convert it to liters:

volume of HCl solution = 50 mL = 0.05 L

concentration of HCl = 0.0125 moles / 0.05 L = 0.25 M

Therefore, the concentration of HCl in the 50 mL sample is 0.25 M.