HCl and NaOH are strong acid and strong base respectively so they will completely diassociate in aqueous solution
HCl (aq) -----> H+ (aq) + Cl- (aq)
NaOH ( aq) -----> Na+ (aq) + OH- (aq)
so No. of moles of H+ = No. of moles of HCl
No. of moles of OH- = No. of moles of NaOH
Given
HCl
Volume V1 = 7.5 ml = 0.0075 L
Molarity M1 = 0.15 M (mol/L)
No. of moles (HCl = H+ )n1 = V1 * M1 = 0.0075 * 0.15 = 0.001125 moles
NaOH
Volume V1 = 19.29 ml = 0.001929 L
Molarity M1 = 0.15 M (mol/L)
No. of moles (NaOH = OH- )n1 = V1 * M1 = 0.01929 * 0.15 = 0.0028935 moles
H+ will be nuetralized by OH- so
No. of moles OH- remaining = 0.0028935 moles - 0.001125 moles = 0.0017685 moles
total volume = 7.5 ml + 19.29 ml = 26.79 ml = 0.02679 L
Molarity of OH- remaining in solution = 0.0017685 moles / 0.02679 L = 0.066 mol/L
pOH = -log ( [OH-]) = - log(0.066) = 1.18
pH = 14 - pOH = 12.82 Answer
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