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Problem 63 Hard Difficulty

One of the important reactions in the biochemical pathway glycolysis is the reaction of glucose-6-phosphate $(\mathrm{G} 6 \mathrm{P})$ to fructose-6-phosphate (F6P):
$\mathrm{G} 6 \mathrm{P} \rightleftharpoons \mathrm{F} 6 \mathrm{P} \quad \Delta G_{298}^{\circ}=1.7 \mathrm{kJ}$
(a) Is the reaction spontaneous or nonspontaneous under standard thermodynamic conditions?
(b) Standard thermodynamic conditions imply the concentrations of G6P and $\mathrm{F} 6 \mathrm{P}$ to be $1 \mathrm{M},$ however, in a typical cell, they are not even close to these values. Calculate $\Delta G$ when the concentrations of $\mathrm{G} 6 \mathrm{P}$ and $\mathrm{F} 6 \mathrm{P}$ are 120$\mu M$ and 28 $\mu M$ respectively, and discuss the spontaneity of the forward reaction under these conditions. Assume the temperature is $37^{\circ} \mathrm{C} .$

Answer

a) The reaction is not spontaneous.
b) $\Delta G=-2.09 \frac{k J}{\text { mol }}$
The reaction is spontaneous.

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Chapter 16

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Video Transcript

we know Standard gives free energy at normal STP conditions. That is 298 kelvin temperature. One more look concentration and one bar pressure is mathematically represented by question. Negative. Artie, Ellen, Ellen is natural law. Kippy gate is equally brim pressure Here are is universal gas constant temperature. KP equally broom constant on delta G is standard gives free energy considering the reaction for auction e, we have standard Gibbs Free and ADI Change equals 1.7 kilo jewels, which is a positive value here. If Delta G outstanding temperature pressure condition is greater than zero, the reaction is non spontaneous. Option B. The expression that requires for calculating gives free energy is Delta G equals delta G et standard condition Bless our D natural law. KP substituting in the values we have Delta G equals negative two point. Oh, hello, Jules. Form over this case, Delta ji is less than they do this mean above reaction proceed in forward direction, favoring the formation off the products. This reaction is known spontaneous

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