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Some CO2 gas was kept in a sealed container at a pressure of 1 atm and at 273 K. This entire amount of CO2 gas was later passed through an aqueous solution of Ca(OH)2. The excess unreacted Ca(OH)2 was later neutralized with 0.1 M of 40 mL HCl. If the volume of the sealed container of CO2 was x, then x is ____ cm3 (nearest integer). [Given : The entire amount of CO2(g) reacted with exactly half the initial amount of Ca(OH)2 present in the aqueous solution.]

  1. 45
  2. 44
  3. 46
  4. 43

Correct answer: 45

Solution

The reaction between CO2 and Ca(OH)2 produces CaCO3 and consumes an equivalent amount of Ca(OH)2. Given that half of the initial Ca(OH)2 was reacted, we can calculate the volume of CO2 using the ideal gas law, which at the specified conditions (1 atm and 273 K) corresponds to 22.4 L per mole. The stoichiometry of the reaction allows us to determine that the volume of CO2 needed to react with the available Ca(OH)2 is 45 cm³.

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