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What is the maximum volume of \(CO _{2}\) at s.t.p. that can be obtained when dilute ...

What is the maximum volume of \(CO _{2}\) at s.t.p. that can be obtained when dilute hydrochloric acid is added to 10 grams of \(CaCO _{3}\) ?
\([ Ca =40, C =12, O =16]
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  • A \(224 dm ^{3}\)
  • B \(22.4 dm ^{3}\)
  • C \(0.224 dm ^{3}\)
  • D \(22.4 dm ^{3}\)
Correct Answer: Option A
Explanation:
Equation of reaction
\(CaCO _{3}+2 HCl \rightarrow CaCl _{2}+ CO _{2}+ H _{2} O\)
\(MMCaCO _{3}=100 g / mol\)
\(\eta CaCO _{3}=\frac{M}{M M}=\frac{10}{100}=0.1 mol\)rom the cquation,
1 mole \(CaCO _{3} \rightarrow\) Imole \(CO _{2}\)
\(0.11\) mole \(CaCO _{3} \rightarrow 0 .\) mole \(CO _{2}\)
Imole of any gas at S.T.P. \(=22.4 dm ^{3}\) i.c.
but I mole of \(CO _{2} \rightarrow 22.4 dm ^{3}\)
\(0.1\) mole \(=2.24 dm ^{3}\)

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