Mole ConceptHard

Question

Which of the following statements is/are correct ?
20.0 mL of 6.0 M HCl is mixed with 50.0 mL of 2.0 M Ba(OH)2, and 30 mL of water is added.

Options

A.The concentration of OH- remaining in solution is 0.8 M
B.The concentration of Cl- remaining in solution is 1.2 M
C.The concentration of Ba2+ remaining in solution is 1.0 M
D.80 mmoles of  OH- is in excess.

Solution

m moles of HCl ⇒ 20 × 6 = 120 ⇒ 120 m mol H+ + 120 m mol Cl-
m moles of Ba(OH)2 ⇒ 50 × 2 = 100 ⇒ 100 m mol
Ba2+ + 200 m mol OH-
H+ + OH   H2O
Total volume = 20 + 50 + 30 = 100 mL
(A)   ∴[OH-] = = 0.8 M
(B)   [Cl-] = = 1.2 M
(C) [Ba2+] = = 1.0 M
(D)    m moles of OH- left = 200 - 120 = 80 mmol

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