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 B67% 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
15−2x
x
3x
But, the total pressure at equilibrium is 15−2x+x+3x=25 or x=5.
∴ Percentage of ammonia decomposed =1015×100=66.67=67%.