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A reaction vessel at 27 °C contains a mixture of SO2 (P = 3.00 atm) and O2 (P = 1.00 atm). When a catalyst is added, this reaction takes place: 2 SO2(g) + O2(g) ⇌ 2 SO3(g). At equilibrium, the total pressure is 3.75 atm. Find the value of Kc.

A reaction vessel at 27 °C contains a mixture of SO₂ (P = 3.00 atm) and O₂ (P = 1.00 atm). When a catalyst is added, this reaction takes place: 2 SO₂(g) + O₂(g) ⇌ 2 SO₃(g). At equilibrium, the total pressure is 3.75 atm. Find the value of K_c.