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Question

# Fe2O3(s) may be converted be Fe by the reaction, Fe2O3+3H2(g)⇌2Fe(s)+3H2O(g); for which Kp=8 at temperature 7200C. What % of H2 remains unreacted after the reaction has come to equilibrium:

A
22%
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B
34%
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C
66%
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D
78%
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Solution

## The correct option is B ≈34%Let the initial partial pressure of hydrogen be 100 atm and the initial partial pressure of water be 0 atm.The equilibrium partial pressures of hydrogen and water will be 100-3P atm and 3 P atm respectively.The expression for the equilibrium constant is P3H2OP3H2=KpSubstitute values in the above expression.(3x)3(100−3x)3=83x100−3x=23x=200−6x9x=200x=22.22The percentage of hydrogen that has unreacted after the hydrogen comes to equilibrium is100−3(22.22)100×100=34 %

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