Final answer:
Without additional context or information on the ΔG' for the inward transport of sucrose, it is not possible to definitively identify if the process is endergonic or exergonic, or to select the correct value of the ΔG' from the options provided.
Step-by-step explanation:
The question pertains to the calculation and determination of the free energy change (ΔG') for the inward transport of sucrose, which is a biological process. To identify if this process is endergonic or exergonic, we need to consider the sign of the free energy change (ΔG'). An endergonic reaction requires the input of energy and is characterized by a positive ΔG', whereas an exergonic reaction releases energy and has a negative ΔG'. Based on the provided information, none of the standard conditions reactions mentioned release enough free energy to transport sucrose inward at a ΔG' of +1.774 kcal/mol. Since the question provides options regarding the value of ΔG' and the type of reaction (endergonic vs exergonic), without additional context or a comparison to the ΔG' of sucrose transport, we are unable to determine the correct answer.