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Question

Nitric acid can be produced from ammonia in a three steps process:
4NH3(g)+5O2(g)4NO(g)+6H2O(g) (i)
2NO(g)+O2(g)2NO2(g) (ii)
3NO2(g)+H2O2HNO3(aq)+NO(g) (iii)
Given the percentage yields of (i), (ii) and (iii) reactions as 50 %, 60 % and 80 %. What will be the volume of NH3 (g) at STP required to produce 1575 g of HNO3.

A
156.25 L
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B
350 L
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C
3500 L
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D
None of these
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Solution

The correct option is C 3500 L
4NH3(g)+5O2(g)4NO(g)+6H2O(g) (i)
2NO(g)+O2(g)2NO2(g) (ii)
3NO2(g)+H2O2HNO3(aq)+NO(g) (iii)
Moles of HNO3 produced = 157563= 25 mol
In reaction (iii),
2 mol of HNO3 is produced by 3 mol of NO2
25 mol of HNO3 will be produced by =32×25=37.5 mol of NO2
Yield of the reaction is given as 80 %
Actual amount of NO2 required = 37.580×100 = 46.875 mol
In reaction (ii),
2 mol of NO2 is produced from 2 mol of NO
46.875 mol of NO2 will be formed by 46.875 mol of NO
Yield of the reaction is given as 60 %
Actual amount of NO required = 46.87560×100 = 78.125 mol
In reaction (i),
4 mol of NO are produced by 4 mol of NH3
78.125 mol will be produced by 78.125 mol of NH3
Yield of the reaction is given as 50 %
Actual amount of NH3 required = 78.12550×100 = 156.25 mol
1 mol of NH3 occupies a volume of 22.4 L at STP
156.25 mol of NH3 will occupy = 3500 L

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