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, 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

Correct Answer:

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