If it takes 54 mL of 0.1 M NaOH to neutralize 125 mL of an HCI solution, what is the concentration of the HCI?

To find the concentration of the HCl solution, we can use the concept of stoichiometry and the balanced chemical equation that represents the neutralization reaction between NaOH and HCl.

The balanced chemical equation for the reaction is:

NaOH + HCl -> NaCl + H2O

From the equation, we can see that the stoichiometric ratio between NaOH and HCl is 1:1. This means that 1 mole of NaOH reacts with 1 mole of HCl.

First, we need to calculate the number of moles of NaOH used. To do this, we can use the formula:

moles = concentration (M) x volume (L)

Given that the volume of NaOH used is 54 mL and the concentration of NaOH is 0.1 M, we can calculate the moles of NaOH as follows:

moles of NaOH = 0.1 M x (54 mL / 1000 mL/L) = 0.0054 moles

Since the stoichiometric ratio between NaOH and HCl is 1:1, the number of moles of HCl in the reaction is also 0.0054 moles.

Now, we can find the concentration of the HCl solution by using the formula:

concentration (M) = moles / volume (L)

Given that the volume of the HCl solution is 125 mL, we can substitute the values into the formula:

concentration of HCl = 0.0054 moles / (125 mL / 1000 mL/L) = 0.0432 M

Therefore, the concentration of the HCl solution is 0.0432 M.

To find the concentration of the HCI solution, you can use the concept of stoichiometry and the equation:

"Moles of NaOH = Moles of HCl"

First, you need to calculate the number of moles of NaOH used in the reaction:
Moles of NaOH = Volume of NaOH (in liters) × Molarity of NaOH

Given that the volume of NaOH used is 54 mL, you need to convert it to liters:
Volume of NaOH (in liters) = 54 mL / 1000 mL/L

Next, substitute the values into the formula to calculate the moles of NaOH:
Moles of NaOH = (54 mL / 1000 mL/L) × (0.1 mol/L)

Evaluate the expression to find the moles of NaOH.

Since the reaction is 1:1 between NaOH and HCl, the moles of HCl will be the same as the moles of NaOH used.

Now, calculate the concentration of HCl:
Concentration of HCl = Moles of HCl / Volume of HCl (in liters)

Given that the volume of HCl is 125 mL, convert it to liters:
Volume of HCl (in liters) = 125 mL / 1000 mL/L

Divide the moles of HCl by the volume to obtain the concentration of HCl.

construct the balance equation for NaOH and HCl reaction

obtain a mole ration i.e. 1:1

determine the actual mole of NaOH reacting using c=n/v where c is 0.1 and v is 54

use this mole to find the concentration of HCl using c=n/v

hope that helps