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 $$____$$?

Question

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 $$____$$?

Infinity Learn · Accepted Answer

$$N2(g)+3H2(g)$$⇌$$2NH3(s)$$ 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                                              $$KP=PNH32PN2PH23$$                                                   $$=1.1$$×$$10-6$$ $$atm-2$$

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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