Cyclohexane,C₆H₁₂,undergoes a Molecular Rearrangement in the Presence of AlCl₃ to Form

Multiple Choice

Cyclohexane,C₆H₁₂,undergoes a molecular rearrangement in the presence of AlCl₃ to form methylcyclopentane,CH₃C₅H_9, 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 mol L^-1 and 0.075 mol L^-1,respectively.

A) [C₆H₁₂] = 0.041 mol L^-1,[CH₃C₅H₉] = 0.041 mol L^-1
B) [C₆H₁₂] = 0.159 mol L^-1,[CH₃C₅H₉] = 0.116 mol L^-1
C) [C₆H₁₂] = 0.241 mol L^-1,[CH₃C₅H₉] = 0.034 mol L^-1
D) [C₆H₁₂] = 0.253 mol L^-1,[CH₃C₅H₉] = 0.022 mol L^-1