Free energy! Assume that you have a solution of 0.1 M glucose 6-phosphate. To th
ID: 901119 • Letter: F
Question
Free energy! Assume that you have a solution of 0.1 M glucose 6-phosphate. To this solution, you add the enzyme phosphoglucomutase, which catalyzes the following reaction: T
he ?G°? for the reaction is +7.5 kJ mol?1 (+1.8 kcal mol?1).
(a) Does the reaction proceed as written? If so, what are the final concentrations of glucose 6-phosphate and glucose 1-phosphate? (b) Under what cellular conditions could you produce glucose 1-phosphate at a high rate?
Phosphoglucomutase Glucose 6-phosphate glucose 1-phosphateExplanation / Answer
G° =+7.5 kJ mol1 (+1.8 kcal mol1)
Answer) Glucose-6-phosphate + phosphoglucomutase=Glucose-1-phosphate
G=-RTln keq
+7.5KJ/mol =-8.314J/K mol (298K)ln keq
Or,+7500J/mol=2477.57 J/mol ln keq
Or,ln keq=7500/2477.57=3.03
Keq=e^3.03
Keq=21
Keq=[G6p]/[G1p]=21
For every molecule of G1p there are 21 molecule of G6P.As G1p=0.1M.
[G1p]=1/22 (0.1M)=0.0045M
And [G6P]=21/22 (0.1M)=0.096M
The reaction does not proceed to a significant extent as very low product conc is formed.
b) If the value of the ratio of [G6p]/[G1p] is kept large, then G becomes more negative and the product yield increases.This can be done by supplying G6P at high rate or removing G1p at high rate by other simultaneous reactions.
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