Sulfur Trioxide Can Undergo Decomposition According to the Equation 2SO₃

Sulfur trioxide can undergo decomposition according to the equation 2SO₃ → 2SO₂ + O₂
For this reaction, rate = −0.5Δ[SO₃ ]/Δt = k[SO₃]². If the reaction rate is 1.75 × 10⁻⁷ mol L⁻¹ min⁻¹ when the concentration of sulfur trioxide is 5.4 × 10⁻³ mol L⁻¹, what is the value of the rate constant k?

A) 3.2 × 10 ⁻⁵ L mol ⁻¹ min ⁻¹
B) 1.6 × 10 ⁻⁵ L mol ⁻¹ min ⁻¹
C) 6.0 × 10 ⁻³ L mol ⁻¹ min ⁻¹
D) 3.0 × 10 ⁻³ L mol ⁻¹ min ⁻¹
E) 1.6 × 10 ⁻² L mol ⁻¹ min ⁻¹