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Question

A mixture of one mole of CO2 and one mole of H2 attains equilibrium at 250C and 0.1 atm.

CO2+H2CO+H2O
Calculate Kp, if the analysis of final reaction mixture shows 0.16 volume percent of CO :

A
2.06×105
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B
10.3×105
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C
1.03×105
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D
2.06×105
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Solution

The correct option is C 1.03×105
The equilibrium reaction is CO2+H2CO+H2O.
The following table lists various quantities.

CO2, H2,
CO
, H2O
Initial moles:
1
1
0
0
Moles at equilibrium:
1x
1x
x
x
Total number of moles =1x+1x+x+x=2.
For CO, mole % is equal to volume %.
Thus x2×100=0.16 or x=0.0032.
As, Δn=0, Kc=Kp
=x2(1x)2
=(0.0032)2(10.0032)2
=1.03×105.

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