What will be the resultant pH when 150 mL of an aqueous solution of HC...
Given:
- Volume of HCl solution (V1) = 150 mL
- pH of HCl solution = 2.0
- Volume of NaOH solution (V2) = 350 mL
- pH of NaOH solution = 12.0
To find:
The resultant pH when the two solutions are mixed.
Solution:
Step 1: Calculate the moles of each solution
For HCl:
Moles of HCl = Molarity of HCl × Volume of HCl / 1000
Given that the pH of HCl solution is 2.0, we can find the concentration of HCl using the formula:
pH = -log[H+]
2.0 = -log[H+]
[H+] = 10^(-pH)
[H+] = 10^(-2) = 0.01 M
Moles of HCl = 0.01 × 150 / 1000 = 0.0015 moles
For NaOH:
Moles of NaOH = Molarity of NaOH × Volume of NaOH / 1000
Given that the pH of NaOH solution is 12.0, we can find the concentration of NaOH using the formula:
pOH = -log[OH-]
pOH = 14 - pH = 14 - 12 = 2
[OH-] = 10^(-pOH) = 10^(-2) = 0.01 M
Moles of NaOH = 0.01 × 350 / 1000 = 0.0035 moles
Step 2: Determine the moles of H+ and OH- ions
The reaction between HCl and NaOH is:
HCl + NaOH → NaCl + H2O
From the balanced equation, we can see that 1 mole of HCl reacts with 1 mole of NaOH to produce 1 mole of water.
Since the moles of HCl and NaOH are in the ratio 1:1, the moles of H+ and OH- ions will also be in the ratio 1:1.
Therefore, the moles of H+ ions = 0.0015 moles
And the moles of OH- ions = 0.0035 moles
Step 3: Calculate the concentration of H+ and OH- ions
Concentration of H+ ions = Moles of H+ ions / Total volume of solution (V1 + V2)
Concentration of H+ ions = 0.0015 / (150 + 350) = 0.0015 / 500 = 0.003 M