Question
Calcium carbonate decomposes on heating to give calcium oxide and carbon dioxide. How much volume of $$C{O_2}$$ will be obtained by thermal decomposition of $$50\,g$$ of $$CaC{O_3}?$$
A.
1$$\,L$$
B.
11.2$$\,L$$
C.
44$$\,L$$
D.
22.4$$\,L$$
Answer :
11.2$$\,L$$
Solution :
$$\mathop {CaC{O_3}}\limits_{100\,g} \to CaO + \mathop {C{O_2}}\limits_{22.4\,L} $$
$$100\,g\,\,{\text{of}}\,\,CaC{O_3}\,\,{\text{at}}\,\,STP\,\,{\text{gives}}$$ $$22.4\,L\,\,{\text{of}}\,\,C{O_2}$$
$$50\,g\,\,{\text{of}}\,\,CaC{O_3}\,\,{\text{will produce}}\,\,\frac{{22.4}}{{100}} \times 50$$ $$ = 11.2\,L\,\,{\text{of}}\,\,C{O_2}$$