Suppose that 25.0 mL of 0.10 M CH3COOH (aq) is titrated with 0.10 M NaOH (aq). What is the pH after the addition of 10.0 mL of 0.10 M NaOH (aq)? (Notice that the total volume of the solution changes with the addition of 10.0 mL of 0.10 M NaOH)

Respuesta :

Answer:

[tex] pH=-1.37[/tex]

Explanation:

We are given that 25 mL of 0.10 M [tex] CH_3COOH[/tex] is titrated with 0.10 M NaOH(aq).

We have to find the pH of solution

Volume of [tex]CH_3COOH=25mL=0.025 L[/tex]

Volume of NaoH=0.01 L

Volume of solution =25 +10=35 mL=[tex]\frac{35}{1000}=0.035 L[/tex]

Because 1 L=1000 mL

Molarity of NaOH=Concentration OH-=0.10M

Concentration of H+= Molarity of [tex]CH_3COOH[/tex]=0.10 M

Number of moles of H+=Molarity multiply by volume of given acid

Number of moles of H+=[tex]0.10\times 0.025[/tex]=0.0025 moles

Number of moles of [tex]OH^-=0.10\times 0.01[/tex]=0.001mole

Number of moles of H+ remaining after adding 10 mL base = 0.0025-0.001=0.0015 moles

Concentration of H+=[tex]\frac{0.0015}{0.035}=4.28\times 10^{-2} m/L[/tex]

pH=-log [H+]=-log [4.28[tex]\times 10^{-2}[/tex]]=-log4.28+2 log 10=-0.631+2

[tex] pH=-1.37[/tex]