1. How many ml of 1.00M HCl do I need to add to 10.0ml of 1.00M NaOH to get a solution with pH = 13?
Let the volume of HCl added = VmL
Moles of NaOH = (10mL)(1.00M) = 10 mol
Moles of HCl = (VmL)(1.00M) = V mol
pH = 13 or pOH = 1 (solution is basic or excess of NaOH is left)
or, [OH-] = 10–1 = 0.1
Excess NaOH left = (10-V) mol
Final volume of the solution = (V+10)mL
Final [OH-] = (10-V)/(V+10) = 0.1 (calculated above)
or, 10-V = 0.1V + 1
9 = 1.1V
V = 8.18 mL
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