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27 December, 15:21

The enthalpy difference between the axial and equatorial conformers of methylcyclohexane is 7.11 kj/mol. assuming that the entropy difference between these two conformers is negligible, calculate the equilibrium constant at room temperature for the process

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  1. 27 December, 16:22
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    There are two equations of Gibb's free energy, ΔG°:

    ΔG° = ΔH° - TΔS°

    ΔG° = - RTlnK

    Let's use the first equation. Since ΔS° is negligible, it is equal to 0. Therefore, ΔG° = ΔH° = 7.11 kJ/mol. We use this value to the second equation.

    7.11 kJ/mol = - (8.314 J/mol·K) * (1 kJ/1000 J) * (25 + 273 K) * (lnK)

    lnK = - 2.8697

    K = 0.05671

    Therefore, the equilibrium constant is equal to 0.05671.
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