Answer:
[tex]V_{HCl}=80mL[/tex]
Explanation:
Hello,
In this case, for the given reactants we identify the following chemical reaction:
[tex]KOH+HCl\rightarrow KCl+H_2O[/tex]
Thus, we evidence a 1:1 molar ratio between KOH and HCl, therefore, for the complete neutralization we have equal number of moles, that in terms of molarities and volumes become:
[tex]n_{HCl}=n_{KOH}\\\\M_{HCl}V_{HCl}=M_{KOH}V_{KOH}[/tex]
Hence, we compute the volume of HCl as shown below:
[tex]V_{HCl}=\frac{M_{KOH}V_{KOH}}{M_{HCl}} =\frac{0.40M*40mL}{0.20M} \\\\V_{HCl}=80mL[/tex]
Best regards.