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Chemistry

The equation,

4NH3 + 5O2 ⟶ 4NO + 6H2O

represents the catalytic oxidation of ammonia. If 100 cm3 of ammonia is used, calculate the volume of oxygen required to oxidise the ammonia completely.

Stoichiometry

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Answer

[By Lussac's law]

4NH3+5O24NO+6H2O4 vol.:5 vol.4 vol.\begin{matrix} 4\text{NH}3 & + & 5\text{O}2 &\longrightarrow & 4\text{NO} & + & 6\text{H}_2\text{O} \ 4 \text{ vol.} & : & 5 \text{ vol.} & \longrightarrow & 4\text{ vol.} \end{matrix}

To calculate the volume of oxygen required :

NH3:O24 vol.:5 vol.100 cm.3:x\begin{matrix}\text{NH}3 & : & \text{O}2 \ 4 \text{ vol.} & : & 5 \text{ vol.} \ 100 \text{ cm.}^3 & : & \text{x} \end{matrix}

x=54×100=125 cm3\therefore x = \dfrac{5}{4} \times 100 = 125 \text{ cm}^3

Hence, volume of oxygen required = 125 cm3

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