In the raction
N2 + 3H2 -----> 2 NH3 ,
Determine the amount of NH3 formed if 2000g de - nitrogen reacts with 1000g dihydrogen.
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=28.0 g
1 mol
Na(g)
+
=6.0 g
3 mol
3H
2(g)
→
=34.0 g
2 mol
2NH
3(g)
(i) 28.0 g of N
2
require 6.0 g of H
2
to produce
=34.0 g of NH
3
2.00×10
3
g of N
2
will produce
=
28
34
×2.00×10
3
g of NH
3
=2.43×10
3
g of NH
3
=2430 g NH
3
(ii) Yes, dihydrogen will remain unreacted to some extent
(iii) Amount of hydrogen that remains unreacted.
28.0 g of N
2
require 6.0 g of H
2
2.00 g×10
3
g of N
2
will require
=
28.0
6.0
×2.00×10
3
of H
2
=428.5 g of H
2
∴ Amount of hydrogen that remains unreacted
=[1.00×10
3
−428.5]
g
=571.5 g.
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GIVEN
- N2 + H2 → 2NH3
- 2000 gram N2 reacts with 1000 gram hydrogen
TO FIND
- Amount of NH3 formed
SOLUTION
- N2 + 3H2 → 2NH3
- Molar mass of N2 = 14+14 = 28 g
Moles = Mass/Molar mass
- So, moles of nitrogen = 2000/28 = 71.42
- Molar mass of H2 = 2g
- Moles of Hydrogen = 1000/2 = 500.
Limiting reagent(LR) = Moles of reactant/ stoichiometric coefficient of reactant
For N2
- LR = 71.42/1 = 71.42
For H2
- LR = 500/3 = 166.6
Here, limiting reagent is N2
- 1 mole N2 gives 2 mole NH3
- 71.42 mole N2 gives 142.84 mole
Therefore, 142.84 mole of NH3 is formed.
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