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]
A. \(224 dm ^{3}\) B. \(22.4 dm ^{3}\) C. \(0.224 dm ^{3}\) D. \(22.4 dm ^{3}\)
Correct Answer: 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 \(=2.24 dm ^{3}\)