The value of ΔG°′ for the conversion of dihydroxyacetone phosphate to glyceraldehyde-3-phosphate (GAP) is + 7.53 kJ/mol. If the concentration of dihydroxyacetone phosphate at equilibrium is 1.85 mM 1.85 mM, what is the concentration of glyceraldehyde-3-phosphate? Assume a temperature of 25.0°C.

Concentration of glyceraldehyde-3-phosphate is 0.0886mM

Explanation:

Get K from the expression exp (ΔG/-RT) = K

Where

ΔG = Gibbs free energy = 7.53 kJ / mol = 7.53 * 10^3 J/mol

T = 250C = 273 + 25 = 298 K

R = 8.3145 J (mol. K)

K = exp (7530 / (-298*8.3145)

K = 4.79*10^-2

NB: K = (conc of products) / (conc of reactants)

From the question

dihydroxyacetone phosphate is the reactant while glyceraldehyde-3-phosphate is the product

4.70*10^-2 = (conc. Of products/1.85mM)

Conc of products = (4.70*10^-2) * 1.85

Conc. Of products = 0.0886mM