Cyclohexane (C₆H₁₂)undergoes a Molecular Rearrangement in the Presence of AlCl₃

Cyclohexane (C₆H₁₂) undergoes a molecular rearrangement in the presence of AlCl₃ to form methylcyclopentane (CH₃C₅H₉) according to the equation: C₆H₁₂ ⇌ CH₃C₅H₉
If K_c = 0.143 at 25°C for this reaction,find the equilibrium concentrations of C₆H₁₂ and CH₃C₅H₉ if the initial concentrations are 0.200 M and 0.100 M,respectively.

A) [C₆H₁₂] = 0.0625 and [CH₃C₅H₉] = 0.062 M
B) [C₆H₁₂] = 0.138 and [CH₃C₅H₉] = 0.162 M
C) [C₆H₁₂] = 0.262 M and [CH₃C₅H₉] = 0.038 M
D) [C₆H₁₂] = 0.282 and [CH₃C₅H₉] = 0.018 M