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Question

A mixture of NH3(g) and N2H4(g) is placed in a sealed container at 27 C, 0.5 atm. After complete decomposition of NH3 and N2H4 at 927 C the total pressure is reached to 4.5 atm.
The decomposition reactions are as follow:
2NH3(g)N2(g)+3H2(g)N2H4(g)N2(g)+2H2(g)
The percentage of NH3 (by mole) is:

A
75%
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B
25%
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C
40%
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D
60%
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Solution

The correct option is A 75%
Let,
NH3=x mol
N2H4=y mol
2NH3(g)N2(g)+3H2(g) x 0 0 0 x2 3x2
N2H4(g)N2(g)+2H2(g) y 0 0 0 y 2y
Initial total mole=x+yFinal total mole=2x+3y
2x+3yx+y=4.5×300(0.5)×12002x+3yx+y=94x=3yPercentage of NH3=75%

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