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NCERT Class XI Chemistry Some Basic Concepts of Chemistry Solutions

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Question : 24 of 36
Marks: +1, -0
Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation :
N2(g)+H2(g)\mathrm{N}_{2(g)} + \mathrm{H}_{2(g)}2NH3(g)2\mathrm{NH}_{3(g)}
(i) Calculate the mass of ammonia produced if 2.00 × 10310^3 g dinitrogen reacts with 1.00 × 10310^3 g of dihydrogen.
(ii) Will any of the two reactants remain unreacted?
(iii) If yes, which one and what would be its mass?
Solution:  
The balanced chemical equation is N2+3H2\mathrm{N}_2 + 3\mathrm{H}_22NH32\mathrm{NH}_3.
Moles of N2\mathrm{N}_2 = 2.00×10328\frac{2.00 \times 10^3}{28} = 71.43, Moles of H2\mathrm{H}_2 = 1.00×1032\frac{1.00 \times 10^3}{2} = 500
1 mole of N2\mathrm{N}_2 required 3 moles of H2\mathrm{H}_2 from above equation.
∴ 71.43 mole of N2\mathrm{N}_2 will require 3 × 71.43 = 214.29 mole of H2\mathrm{H}_2
But moles of H2\mathrm{H}_2 actually present = 500 moles
Thus, H2\mathrm{H}_2 is in excess and will remain unreacted and N2\mathrm{N}_2 is limiting reagent.
(i) 1 mole of N2\mathrm{N}_2 reacts with H2\mathrm{H}_2 to form NH3\mathrm{NH}_3 = 2 moles
71.43 moles of N2\mathrm{N}_2 react with H2\mathrm{H}_2 to form NH3\mathrm{NH}_3 = 21\frac{2}{1} × 71.43
= 142.86 moles
Mass of NH3\mathrm{NH}_3 produced = 142.86 × 17 = 2428.6 g
(ii) Hydrogen will remain unreacted.
(iii) Moles of H2\mathrm{H}_2 remaining unreacted = 500 – 214.29 = 285.71 moles
Mass of H2\mathrm{H}_2 left unreacted = 285.71 × 2 = 571.42 g
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