Q.

A mixture N2 and H2  gases were taken in 1 : 5 mole ratio in a closed container at 103 atm and 700K. After attaining equilibrium the resulting mixture contain 0.2 mole fraction of NH3 gas. Equilibrium constant  KP for the reaction is ____?

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a

2.6×103 atm -2

b

5×10-3 atm -2

c

2.6×10-4 atm-2

d

1.1×10-6 atm-2

answer is D.

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Detailed Solution

N2(g)+3H2(g)⇌2NH3(s) Initial mole         1           5               0 At equilibrium   1-x      5-3x         2x  mole fractionof NH3 at equilibrium =2x6-2x                                                   2x6-2x=0.2                                                             x=0.5  Partial pressure of N2 gas =1-x6-2x×103 atm                                                 =102 atm  Partial pressure of H2 gas  =5-3x6-2x×103 atm                                                    =7×102 atm   Partial pressure of NH3 gas =2x6-2x×103 atm                                                   =2×102 atm                                              KP=PNH32PN2PH23                                                   =1.1×10-6 atm-2
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