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Question

NH3 under 15 atm pressure and at 27oC is heated to 327oC in a closed vessel in the presence of a catalyst. Under these conditions, NH3 is partially decomposed and pressure is increased to 25 atm. The percentage of NH3 decomposed is :

A
30%
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B
50%
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C
67%
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D
75%
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Solution

The correct option is B 67%
The equilibrium reaction is 2NH3(g)N2(g)+3H2(g).
The partial pressures of various species are given in the following table.
NH3
N2
H2
Initial pressure
15
0
0
Change
2x
x
3x
Equilibrium pressure
152x
x
3x

But, the total pressure at equilibrium is 152x+x+3x=25 or x=5.
Percentage of ammonia decomposed =1015×100=66.67=67%.

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