Answer:
[tex]pH=12.16[/tex]
Explanation:
The alkaline solution:
40 ml of 0.1 M KOH
[tex]n_{KOH}=\frac{1 L}{1000mL}*40mL*0.1M=0.004 mol[/tex]
The acid solution:
30 ml of 0.1 M HCl
[tex]n_{HCl}=\frac{1 L}{1000mL}*30mL*0.1M=0.003 mol[/tex]
The neutralization reaction:
[tex]HCl + KOH \longrightarrow KCl + H_2O[/tex]
For 1 mol of HCl, 1 mol of KOH is consumed. If 0.003 mol of HCl are added, 0.003 mol of KOH reacted.
After titration:
[tex]n_{KOH}=0.001 mol[/tex]
[tex]n_{HCl}= 0 mol[/tex]
Concentration (don't forget to add the volumes)
[tex]n_{KOH}=\frac{1 1000mL}{1L *70mL}*0.001 mol=0.0143 mol[/tex]
Calcualtion of the pOH:
[tex]pOH=-log([OH^-])=-log(0.0143)=1.84[/tex]
For the pH:
[tex]pH=14-pOH=14-184=12.16[/tex]