Answer:
The pH of the solution is 3.
Explanation:
Moles of HCl = 0.0020 mol
Volume of the solution = 2000 mL = 2 L
1 L = 1000 mL
Molarity = [tex]\frac{\text{Moles of compound}}{\text{Volume of the solution (L)}}[/tex]
[tex]M=\frac{0.0020 mol}{2 L}=0.0010 mol/L[/tex]
[tex]HCl+H_2O\rightarrow H_3O^++Cl^-[/tex]
1 mol of HCl forms 1 mole of hydronium ion and 1 mol of chloride ions.
Then 0.0010 M of of HCl forms 0.0010 M of hydronium ion
The molarity of hydronium ion = 0.0010 M
The pH of the solution is defined as negative logarithm of hydronium ion or hydrogen ion concentration in a solution.
[tex]pH=-\log[H_3O^+][/tex]
[tex]pH=-\log[0.0010 M]=3[/tex]
The pH of the solution is 3.