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Question

The value of Kc for the reaction,
CO(g)+H2O(g)CO2(g)+H2(g) is 1. A mixture of 1 mole of water vapour and 3 moles of CO is allowed to come to equilibrium at a total pressure of 2 atm. Calculate the partial pressure of hydrogen gas.

A
0.375 atm
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B
0.75 atm
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C
1.5 atm
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D
2.5 atm
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Solution

The correct option is A 0.375 atm
CO(g)+H2O(g)CO2(g)+H2(g)(Initially)3100(At Equilibrium)3x1xxx
Applying law of mass action
Kc=[CO2][H2][CO][H2O]=x2(3x)(1x) or,
1=x233xx+x2
or,
x2=x24x+3x=0.75
Moles of hydrogen at equilibrium =0.75
Now, we know that partial pressure (p) =Moles of substanceTotal number of moles×Total Pressure
pH2=0.754×2=0.375 atm

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