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
0.375atm
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B
0.75atm
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C
1.5atm
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D
2.5atm
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Solution
The correct option is A0.375atm CO(g)+H2O(g)⇌CO2(g)+H2(g)(Initially)3100(At Equilibrium)3−x1−xxx Applying law of mass action Kc=[CO2][H2][CO][H2O]=x2(3−x)(1−x) or, 1=x23−3x−x+x2 or, x2=x2−4x+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=0.375atm