In photosynthesis, plants form glucose (C6H12O6) and oxygen from carbon dioxide and water. The balanced equation for photosynthesis is 6CO2 + 6H2O → C6H12O6 + 6O2
a) Calculate ΔH∘rxn at 15 ∘ C.
b) Calculate ΔS∘rxn at 15 ∘ C.
c) Calculate ΔG∘rxn at 15 ∘ C.

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a. The change in enthalpy for the reaction has been 2804.8 kJ/mol.

b. The change in entropy for the reaction has been -262.4 kJ/mol.

c. The change in Gibbs free energy for the reaction has been 2880.41 kJ/mol.

Photosynthesis has been reaction for the formation of glucose and oxygen, with the reaction of carbon dioxide and water.

The standard enthalpy and the entropy of each reactant has been given in the image attached.

Computation for Enthalpy and Entropy of reaction

The change in enthalpy for the reaction has been given by:

[tex]\Delta H_{rxn}=\Delta H_{Product}-\Delta H_{reactant}\\ \Delta H_{rxn}=(-1271\;+\;6(0))-(6(393.5)\;+\;6(285.8)\\ \Delta H_{rxn}=2804.8\;\rm kJ/mol[/tex]

The change in enthalpy for the reaction has been 2804.8 kJ/mol.

The change in entropy for the reaction has been given by:


[tex]\Delta S_{rxn}=\Delta S_{Product}-\Delta S_{reactant}\\\Delta H_{rxn}=(209.21\;+\;6(205.2))-(6(213.8)\;+\;6(70)\\\Delta H_{rxn}=-262.4\;\rm kJ/mol[/tex]

The change in entropy for the reaction has been -262.4 kJ/mol.

The Gibbs free energy for the reaction has been given by:

[tex]\Delta G_{rxn}=\Delta H_{rxn}-\text{Temperature}\;\times\;\Delta S_{rxn}\\ \Delta G_{rxn}=2804.8\;-\;288.15\;\text K\;\times\;-262.4\;\text{kJ/mol}\\ \Delta G_{rxn}=2880.41\;\text{kJ/mol}[/tex]

The change in Gibbs free energy for the reaction has been 2880.41 kJ/mol.

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