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Some Basic Concepts of Chemistry question

2022 · 25 Jul · Shift 2 · Q14
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Some Basic Concepts of Chemistry question

2022 · 25 Jul · Shift 2 · Q14

JEE MainChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
56.0 L of nitrogen gas is mixed with excess hydrogen gas and it is found that 20 L of ammonia gas is produced. The volume of unused nitrogen gas is found to be ‾\underline{\hspace{2cm}}​ L.
Numerical answer
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Correct answer: 46

  1. Write the balanced chemical equation

N2+3H2→2NH3\mathrm{N_2 + 3H_2 \rightarrow 2NH_3}N2​+3H2​→2NH3​

  1. Use Gay-Lussac's law of combining volumes

At the same temperature and pressure, gaseous volumes are proportional to the stoichiometric coefficients.

So,

1 volume of N2→2 volumes of NH31\text{ volume of }N_2 \rightarrow 2\text{ volumes of }NH_31 volume of N2​→2 volumes of NH3​

  1. Find the volume of }N_2\text{ consumed

Given ammonia produced = 20 L20\,\text{L}20L.

From the ratio,

1 L of N2→2 L of NH31\,\text{L of }N_2 \rightarrow 2\,\text{L of }NH_31L of N2​→2L of NH3​

Therefore, nitrogen consumed is

12×20=10 L\frac{1}{2}\times 20 = 10\,\text{L}21​×20=10L

  1. Find unused nitrogen

Initial nitrogen volume = 56 L56\,\text{L}56L

Unused nitrogen volume:

56−10=46 L56 - 10 = 46\,\text{L}56−10=46L

  1. Final answer

46\boxed{46}46​

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