The value of Δ G ° ' ΔG°′ for the conversion of 3-phosphoglycerate to 2-phosphoglycerate (2PG) is + 4.40 kJ/mol +4.40 kJ/mol . If the concentration of 3-phosphoglycerate at equilibrium is 2.15 mM 2.15 mM , what is the concentration of 2-phosphoglycerate? Assume a temperature of 25.0 ° C 25.0°C .

Respuesta :

Answer:

The concentration of 2-phosphoglycerate = 0.344 mM

Explanation:

ΔG°  for the conversion of 3-phosphoglycerate to 2-phosphoglycerate (2PG) is + 4.40 kJ/mole.

            We know ΔG° = [tex]- 2.303 RTlogK[/tex]

   where R = Universal gas constant = 8.314 x 10⁻³ kj.mole⁻¹. k⁻¹

                               T = Kelvin temperature = 25 + 273 = 298 K

                            ⇒   log K = [tex]\frac{4.4}{-2.303X8.314X10^{-3}X298 }[/tex]

                            ⇒   log K = - 0.77

                            ⇒        K = 0.16

             3-phosphoglycerate → 2-phosphoglycerate

                 [tex]K = \frac{[2 - phosphogycerate]}{[3-phosphoglycerate]}[/tex]

            Where 'K' is equilibrium constant

                [tex]0.16=\frac{x}{2.15X10^{-3} }[/tex]

             ⇒ x = 0.16 x 2.15 x 10⁻³

             ⇒ x = 0.000344 molar or 0.344 mM at 25°C