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Chemistry

Propane burns in air according to the following equation :

C3H8 + 5O2 ⟶ 3CO2 + 4H2O.

What volume of propane is consumed on using 1000 cm3 of air, considering only 20% of air contains oxygen.

Stoichiometry

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Answer

Given, 20% of air contains oxygen

∴ 20% of 1000 cm3 = 20100\dfrac{20}{100} x 1000 = 200 cm3

[By Lussac's law]

C3H8+5O23CO2+4H2O1 vol.:5 vol.3 vol.:4 vol.\begin{matrix} \text{C}3\text{H}8 & + & 5\text{O}2 &\longrightarrow & 3\text{CO}2 & + & 4\text{H}_2\text{O} \ 1 \text{ vol.} & : & 5 \text{ vol.} & \longrightarrow & 3\text{ vol.} & : & 4\text{ vol.} \end{matrix}

To calculate the volume of propane consumed :

O2:C3H85 vol.:1 vol.200 cm.3:x\begin{matrix}\text{O}2 & : & \text{C}3\text{H}_8 \ 5 \text{ vol.} & : & 1 \text{ vol.} \ 200 \text{ cm.}^3 & : & \text{x} \end{matrix}

x=15×200=40 cm.3\therefore x = \dfrac{1}{5} \times 200 = 40 \text{ cm.}^3

Hence, volume of propane is consumed is 40 cm3

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