To find the concentration of the acid solution, we can use the balanced chemical equation and the given information on the base solution.
The balanced chemical equation for the reaction between hydrochloric acid (HCl) and sodium hydroxide (NaOH) is:
HCl + NaOH → NaCl + H2O
From the equation, we can see that the molar ratio between HCl and NaOH is 1:1.
Given:
- Volume of HCl solution = 20 ml
- Volume of NaOH solution = 26 ml
- Concentration of NaOH solution = 0.1 M
We need to find the concentration of the HCl solution.
To do this, we can use the concept of stoichiometry. Stoichiometry allows us to calculate the amount of one substance from the amount of another, using the balanced chemical equation.
First, we need to determine the amount of NaOH in the base solution using its volume and concentration. Given:
Volume of NaOH solution = 26 ml
Concentration of NaOH solution = 0.1 M
Using the formula:
Amount of substance (in moles) = concentration (in M) x volume (in liters)
Amount of NaOH = 0.1 M x 0.026 L = 0.0026 moles
Since the molar ratio between HCl and NaOH is 1:1, the amount of HCl in the acid solution will be the same as the amount of NaOH.
Amount of HCl = 0.0026 moles
Now, we can find the concentration of HCl solution using the volume of the acid solution and the calculated amount of HCl.
Volume of HCl solution = 20 ml
Using the formula:
Concentration of HCl solution (in M) = amount of HCl (in moles) / volume (in liters)
Concentration of HCl solution = 0.0026 moles / 0.020 L = 0.13 M
Therefore, the concentration of the HCl solution is 0.13 M.