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 M and 0.075 M,respectively.

A) [C₆H₁₂] = 0.041 M,[CH₃C₅H₉] = 0.041 M
B) [C₆H₁₂] = 0.159 M,[CH₃C₅H₉] = 0.116 M
C) [C₆H₁₂] = 0.241 M,[CH₃C₅H₉] = 0.034 M
D) [C₆H₁₂] = 0.253 M,[CH₃C₅H₉] = 0.022 M