In: Chemistry
Titration is a technique in analytical chemistry used to find an unknown concentration of an analyte by reacting it with a known volume and concentration of a standard solution (called the titrant). Titrations are typically used for acid-base reactions and redox reactions.
To find concentration of the HCl ? if a 25 ml solution of 1.0 M NaOH is titrated until neutralized into a 50 ml sample of HCl ?
Step-by-Step Solution
Step 1 - Determine [OH-]
Every mole of NaOH will have one mole of OH-. Therefore [OH-] = 1 M.
Step 2 - Determine the number of moles of OH-
Molarity = # of moles/volume
# of moles = Molarity x Volume
# of moles OH- = (1 M)(.025 L)
# of moles OH- = 0.025 mol
Step 3 - Determine the number of moles of H+
When the base neutralizes the acid, the number of moles of H+ = the number of moles of OH-. Therefore the number of moles of H+ = 0.025 moles.
Step 4 - Determine the concentration of HCl
Every mole of HCl will produce one mole of H+, therefore the number of moles of HCl = number of moles of H+.
Molarity = # of moles/volume
Molarity of HCl = (0.025 mol)/(0.050 L)
Molarity of HCl = 0.00125 M
Answer
The concentration of the HCl is 0.00125 M.
Another Solution Method
The above steps can be reduced to one equation
MacidVacid = MbaseVbase
where
Macid = concentration of the acid
Vacid = volume of the acid
Mbase = concentration of the base
Vbase = volume of the base
MacidVacid = 2MbaseVbase