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Chemistry

What volume of oxygen would be required to burn completely 400 ml of acetylene [C2H2]? Also calculate the volume of carbon dioxide formed.

2C2H2 + 5O2 ⟶ 4CO2 + 2H2O (l)

Mole Concept

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Answer

2C2H2+5O24CO2+2H2O2 vol.:5 vol.4 vol.\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{ vol.} & : & 5 \text{ vol.} & \longrightarrow & 4 \text{ vol.} & \\ \end{matrix}

[By Gay Lussac's law]

2 Vol. of C2H2 requires 5 Vol. of oxygen

∴ 400 ml C2H2 will require 52\dfrac{5}{2} x 400

= 1000 ml of Oxygen

Hence, required volume of oxygen = 1000 ml

Similarly,

2 Vol. of C2H2 produces 4 Vol. of Carbon dioxide

∴ 400 ml of C2H2 produces 42\dfrac{4}{2} x 400

= 800 ml of Carbon dioxide

Hence, carbon dioxide produced = 800 ml

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