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20 mL of calcium hydroxide was consumed when it was reacted with 10 mL of unknown solution of H₂SO₄. Also 20 mL standard solution of 0.5 MHCl containing 2 drops of phenolphthalein was titrated with calcium hydroxide, the mixture showed pink colour when burette displayed the value of 35.5 mL whereas the burette showed 25.5 mL initially. The concentration of H₂SO₄ is ________ M. (Nearest integer)

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answer is 1.

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Detailed Solution

Volume of $Ca {(OH)}_{2}$ = $35.5 - 25.5 = 10 ml .$
In 10ml of $Ca {(OH)}_{2}$ 5m moles are present.
In 20ml, 10m moles of $Ca {(OH)}_{2}$ are present.
$∴$ 10m moles of $H_{2} {SO}_{4} = V \times M = 10 \times M ∴ M = 1 M$

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