A 2.00 litre flask is filled with 1.5 mole SO3, 2.5 mole SO2, and 0.5 mole O2, and allowed to reach equilibrium. At this temperature, K = 1.0. Predict the effect on the concentration of O2 as equilibrium is being achieved by using Q, the reaction quotient.
Question
A 2.00 litre flask is filled with 1.5 mole SO3, 2.5 mole SO2, and 0.5 mole O2, and allowed to reach equilibrium. At this temperature, K = 1.0. Predict the effect on the concentration of O2 as equilibrium is being achieved by using Q, the reaction quotient.
Solution
First, let's write down the balanced chemical equation for the reaction:
2SO2(g) + O2(g) ⇌ 2SO3(g)
Next, we calculate the initial concentrations of the gases:
[SO2] = 2.5 moles / 2.00 L = 1.25 M [O2] = 0.5 moles / 2.00 L = 0.25 M [SO3] = 1.5 moles / 2.00 L = 0.75 M
Now, we calculate the reaction quotient Q:
Q = [SO3]^2 / ([SO2]^2 * [O2]) Q = (0.75)^2 / ((1.25)^2 * 0.25) Q = 1.8
Since Q > K, the reaction will shift to the left to reach equilibrium. This means the concentration of O2 will increase as equilibrium is being achieved.
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