Final answer:
To predict the direction in which the reaction will proceed, we calculate Qp as 16.41, which is greater than Kp, so the reaction will proceed towards the formation of SO₃(g) to reach equilibrium.
Step-by-step explanation:
To determine the direction in which the reaction 2 SO₃(g) ↔ 2 SO₂(g) + O₂(g) will proceed toward equilibrium, we need to calculate the reaction quotient, Qp, and compare it to Kp. Since at 1000 K the value of Kp is given as 0.338, we can use the partial pressures provided:
- PSO₃ = 0.16 atm
- PSO₂ = 0.41 atm
- PO₂ = 2.5 atm
The reaction quotient Qp is calculated using the equation Qp = (PSO₂² × PO₂) / (PSO₃²).
Substituting the values we get:
Qp = ((0.41)� × (2.5)) / (0.16)�
Qp = (0.1681 × 2.5) / 0.0256
Qp = 0.42025 / 0.0256
Qp = 16.41
Since Qp is greater than Kp, the reaction will proceed toward the left, favoring the formation of SO₃(g) to achieve equilibrium.