Final answer:
The standard free energy change (∆Gᵒ') of a chemical reaction can indicate the spontaneity of the reaction under standard conditions. A positive ∆Gᵒ' value indicates a non-spontaneous reaction, and in this case, the ∆Gᵒ' is 3.67 cal/mol. Therefore, the reaction is not spontaneous under standard conditions.
Step-by-step explanation:
The standard free energy change, ∆Gᵒ', of a chemical reaction can give us information about the spontaneity of the reaction under standard conditions. In this case, the ∆Gᵒ' is calculated to be 3.67 cal/mol. If ∆Gᵒ' is positive, it means the reaction is not spontaneous under standard conditions. If ∆Gᵒ' is negative, it means the reaction goes spontaneously to the right under standard conditions. If ∆Gᵒ' is zero, it means the reaction is at equilibrium under standard conditions.
Since the given value of ∆Gᵒ' is positive (3.67 cal/mol), we can conclude that the reaction is not spontaneous under standard conditions. Therefore, the correct answer is C) The reaction is not spontaneous under standard conditions.