Ochem energy calculation - correct answer?

AI Thread Summary
The discussion centers on a discrepancy between a calculated free energy difference for the equilibrium of glucose isomers and the value provided in a solution manual. The problem involves calculating the free energy change using the equation ΔG° = -RT ln(K_eq), with R set at 0.001986 and T at 298K, leading to a calculated value of -0.34 kcal/mol. In contrast, the solution manual states -0.81 kcal/mol. The user suggests that the manual's author may have incorrectly applied the natural logarithm, potentially confusing it with decimal logarithm calculations, which could explain the significant difference in values.
tandoorichicken
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I think the solution manual is wrong for this problem.

The problem:
The naturally occurring sugar glucose exists in two isomeric cyclic forms. These are called [alpha] and [beta], and at equilibrium they are present in a ratio of approximately 64:36. Calculate the free energy difference that corresponds to this equilibrium ratio.

I basically used the free energy equation
\Delta G° = -RT \ln{K_{eq}}.

I used a value of 0.001986 for R and 298K for T (I assumed STP) and got a value of -0.34 kcal/mol for DG. The solution manual lists a value of -0.81 in kcal/mol.
 
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Looks about right --- the idiot doing the solution may have taken a natural log and multiplied it by 2.303 rather than realizing that's a hangover from the old days of decimal logs from slide rules.
 
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