JEE Main Chemistry question

Given that the equilibrium constant for the reaction 2SO₂(g)+O₂(g)⇌2SO₃(g) has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature? SO₃(g)⇌SO₂(g)+½O₂(g)

• (A)1.8×10⁻³
• (B)3.6×10⁻³
• (C)6.0×10⁻²Correct
• (D)1.3×10⁻⁵