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Chemistry

1250 cc of oxygen was burnt with 300 cc of ethane [C2H6]. Calculate the volume of unused oxygen and the volume of carbon dioxide formed:

2C2H6 + 7O2 ⟶ 4CO2 + 6H2O

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Answer

2C2H6+7O24CO2+6H2O2 vol.:7 vol.4 vol.\begin{matrix} 2\text{C}2\text{H}6 & + & 7\text{O}2 & \longrightarrow & 4\text{CO}2 & + & 6\text{H}_2\text{O} \\ 2 \text{ vol.} & : & 7 \text{ vol.} & \longrightarrow & 4 \text{ vol.} & \\ \end{matrix}

[By Gay Lussac's law]

2 Vol. of C2H6 requires 7 Vol. of oxygen

∴ 300 cc C2H6 will require 72\dfrac{7}{2} x 300

= 1050 cc of Oxygen

Hence, unused oxygen = 1250 - 1050 = 200 cc

Similarly,

2 Vol. of C2H6 produces 4 Vol. of carbon dioxide

∴ 300 cc C2H6 produces 42\dfrac{4}{2} x 300

= 600 cc of Carbon dioxide

Hence, carbon dioxide produced = 600 cc.

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