50.0 mL of an unknown HCl solution was titrated with 0.449 M NaOH. To reach the equivalence point, 38.4 mL of the NaOH was used. What was the concentration of the HCl?

NaOH + HCl ==> NaCl + H2O

mols NaOH = M x L = ?
mols HCl = mols NaOH since the ratio in the equation is 1:1.
Then M HCl = mols HCl/L HCl. YOu knowL and mols, solve for M

To calculate the concentration of the HCl solution, we can use the concept of stoichiometry and the equation of the reaction between HCl and NaOH:

HCl + NaOH -> NaCl + H2O

From the balanced equation, we can see that the ratio between HCl and NaOH is 1:1.

Given:
Volume of HCl solution = 50.0 mL
Volume of NaOH used = 38.4 mL
Concentration of NaOH = 0.449 M

Step 1: Convert the volume of HCl to liters:
50.0 mL = 50.0/1000 = 0.0500 L

Step 2: Use the volume of NaOH and its concentration to find the number of moles of NaOH:
moles of NaOH = volume (in L) × concentration
moles of NaOH = 38.4/1000 × 0.449
moles of NaOH = 0.0173 mol

Step 3: Since the ratio between HCl and NaOH is 1:1, the number of moles of HCl is also 0.0173 mol.

Step 4: Calculate the concentration of HCl:
Concentration of HCl = moles/volume (in L)
Concentration of HCl = 0.0173/0.0500
Concentration of HCl = 0.346 M

Therefore, the concentration of the HCl solution is 0.346 M.

To find the concentration of the HCl solution, you can use the concept of stoichiometry and the equation balanced for the reaction between HCl and NaOH. The balanced equation is:

HCl + NaOH -> NaCl + H2O

From the balanced equation, you can see that the molar ratio between HCl and NaOH is 1:1. This means that for every 1 mole of HCl, you need 1 mole of NaOH to react fully.

Given that the volume of the HCl solution is 50.0 mL and the volume of NaOH solution used is 38.4 mL, we need to convert the volumes to moles.

First, let's calculate the moles of NaOH used:

Moles of NaOH = concentration of NaOH x volume of NaOH
= 0.449 M x 0.0384 L
= 0.0172656 moles

Since the molar ratio between NaOH and HCl is 1:1, the moles of HCl used should also be 0.0172656 moles.

Next, let's calculate the concentration of HCl:

Concentration of HCl = Moles of HCl / Volume of HCl
= 0.0172656 moles / 0.0500 L
= 0.3453 M

Therefore, the concentration of the HCl solution is 0.3453 M.

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