4. At a given temperature, the equilibrium constant Kc for the reaction 2SO2(g) + O2(g) ⇌ 2SO3(g) is 3.0x10^9 . If 1.00 mol of SO2 and 2.00 mol of O2 are placed in a 1.00 L container and allowed to react to equilibrium at this temperature, what is the concentration of SO3 at equilibrium?
a) 0.500 M
b) 1.00 M
c) 2.00 M
d) 3.87 x10^4 M
e) none of these
Since Kc is large, this is not an equilibrium question.
The reaction can be assumed to be complete.
Balanced chemical equation is:
2 SO2 + O2 ---> 2 SO3 +
2 mol of SO2 reacts with 1 mol of O2
for 1 mol of SO2, 0.5 mol of O2 is required
But we have 2 mol of O2
so, SO2 is limiting reagent
we will use SO2 in further calculation
According to balanced equation
mol of SO3 formed = (2/2)* moles of SO2
= (2/2)*1
= 1 mol
[SO3] = mol of SO3 / volume in L
= 1 mol / 1.00 L
= 1.00 M
Answer: b
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