Cyclohexane drawing alternative chair conformations

Conformations of Alkanes and Cycloalkanes HOW TO Draw Alternative Chair Conformations of Cyclohexane 2- Cis,Trans Isomerism in Cycloalkanes and Bicycloalkanes HOW TO Convert Planar Cyclohexanes to Chair Cyclohexanes 2-7 Physical Properties of Alkanes and Cycloalkanes 2-8 Reactions of Alkanes... 

Draw alternative chair conformations for each substituted cyclohexane and state which chair is more stable. 

Draw the alternative chair conformation for the trisubstituted cyclohexane given in Example 2.10. Label all CHj/H 1,3-diaxial interactions in this chair conformation. 

Draw the alternative chair conformations for the product formed by the addition of bromine to 4-tert-butylcyclohexene.The Gibbs free energy differences between equatorial and axial substituents on a cyclohexane ring are 21 kj (4.9 kcal)/mol for ferf-butyl and 2.0-2.6 kJ (0.48-0.62 kcal)/mol for bromine. Estimate the relative percentages of the alternative chair conformations you drew in the first part of this problem. 

On a cyclohexane ring, an axial carboxyl group has a conformational energy of 5.9 kj (1.4 kcal)/mol relative to an equatorial carboxyl group. Consider the equilibrium for the alternative chair conformations of trans-l,4-cyclohexanedicarboxylic acid. Draw the less stable chair conformation on the left of the equilibrium arrows and the more stable chair on the right. Calculate AG for the equilibrium as written and calculate the ratio of the more stable chair to the less stable chair at 25"C. 

We saw early in Section 3.3.2 that, if we draw cyclohexane in typical two-dimensional form, the bonds to the ring could be described as up or down , according to whether they are wedged or dotted. This is how we would see the molecule if we viewed it from the top. When we look at the molecule from the side, we now see the chair conformation the ring is not planar as the two-dimensional form suggests. Bonds still maintain their up and down relationship, but this means bonds shown as up alternate axial-equatorial around the ring they are... 

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