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ICSE Class 10 Chemistry Question 7 of 25

Gay Lussac's Law — Avogadro's Law — Mole Concept — Question 7

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Question 7

Ammonia is formed from the reactants nitrogen and hydrogen in presence of a catalyst under suitable conditions. Assuming all volumes are measured in litres at s.t.p. Calculate the volume of ammonia formed if only 10% conversion has taken place.

Answer

[By Lussac's law]

N2+3H2⟶2NH31 vol.:3 vol.⟶2 vol.1 lit.:3 lit.⟶2 lit.\begin{matrix} \text{N}_2 & + & 3\text{H}_2 & \longrightarrow & 2\text{NH}_3 & \\ 1 \text{ vol.} & : & 3 \text{ vol.} & \longrightarrow & 2 \text{ vol.} & \\ 1 \text{ lit.} & : & 3 \text{ lit.} & \longrightarrow & 2 \text{ lit.} & \end{matrix}

To calculate the volume of ammonia formed when only 10% conversion takes place,

∴10% of 2 lit=10100×2=0.2 lit\therefore 10\% \text{ of 2 lit} = \dfrac{10}{100} \times 2 = 0.2 \text{ lit}

Hence, volume of ammonia formed is 0.2 lit or 20% or 1/5th of vol of N2 and H2