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V 1 m L of NaOH of molarity X and V 2 m L of B a ( O H ) 2 of molarity Y are mixed together. The mixture is completely neutralized by 100 mL of 0.1N HCl. If V 1 / V 2 = 1 / 4 and X/Y = 4 then what fraction of acid is neutralized by B a ( O H ) 2

Options

  1. A0.5
  2. B0.25
  3. C0.33
  4. D0.67

Correct answer

D. 0.67

Step-by-step solution

M e q . of NaOH + Meq. of Ba ( OH ) 2 = M e q . of HCl X . V 1 + 2 Y . V 2 = 100 × 0.1 = 10 or 4 Y . V 2 4 + 2 Y . V 2 = 10 or 3 Y V 2 = 10 2 Y . V 2 = 10 × 2 3 = 6.66 Fraction used by B a ( O H ) 2 = 6.66 10 = 0.67

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