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ICSE Class 10 Chemistry Question 48 of 72

Mole Concept & Stoichiometry Miscellaneous Exercises — Question 48

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48
Question

Question 47(a)

Calcium carbide is used for the artificial ripening of fruits. Actually the fruit ripens because of the heat evolved while calcium carbide reacts with moisture. During this reaction calcium hydroxide and acetylene gas is formed. If 200 cm3 of acetylene is formed from a certain mass of calcium carbide, find the volume of oxygen required and carbon dioxide formed during the complete combustion. The combustion reaction can be represented as below.

2C2H2(g) + 5O2(g) ⟶4CO2(g) + 2H2O(g)

Answer

2C2H2+5O2⟶4CO2+2H2O2 mol.5 mol.4 mol. \begin{matrix} 2\text{C}_2\text{H}_2 & + & 5\text{O}_2 \longrightarrow & 4\text{CO}_2 & + &2\text{H}_2\text{O} \\ 2\text{ mol.} & & 5 \text{ mol.} & 4\text{ mol.}\ \end {matrix} According to Gay-Lussac's law,

2 volume of acetylene requires 5 volume of oxygen

1 volume of acetylene requires 52\dfrac{5}{2} = 2.5 volume of oxygen

∴ 200 cm3 of acetylene requires 2.51\dfrac{2.5}{1} x 200

= 500 cm3 of oxygen

2 volume of acetylene produces 4 volume of CO2

1 volume of acetylene produces 42\dfrac{4}{2} = 2 volume of CO2

∴ 200 cm3 produces 21\dfrac{2}{1} x 200 = 400 cm3 of CO2