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Question

The equilibrium constant (KP) for the reaction: 2SO2(g)+O2(g)2SO3(g) is 0.13 atm1 at 830C. In one experiment 2.00 mol SO2 and 2.00 mol O2 were initially present in a flask. If 0.4 mol of SO3 is present at equilibrium, find the total pressure.

A
1 atm
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B
0.5 atm
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C
2 atm
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D
4 atm
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Solution

The correct option is A 1 atm
2SO2(g)+O2(g)2SO3(g)
2 2 0
1.6 1.8 0.4 at eqb
total moles =3.8 mol
, Mole fraction:
XSO2=1.63.8=0.42
XO2=1.83.8=0.474
XSO3=0.43.8=0.105
PSO3=XSO3PT
PSO2=XSO2PT
PO2=XO2PT
Now given,
KP=0.13=(PSO3)2P(SO2)2.PO2.
0.13=(0.105 PT)2(0.42×PT)2(0.479×PT)
PT=1 atm.

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