Final answer:
The value of ΔG at 300 K, with the given ΔH and ΔS, is calculated using the formula ΔG = ΔH - TΔS, resulting in a value of 0 kJ/mol. Hence, option (C) is correct.
Step-by-step explanation:
The student has asked for the value of ΔG at 300 K with given values of ΔH = 27 kJ/mol and ΔS = 0.09 kJ/(mol-K). The formula to calculate ΔG (ΔG = ΔH - TΔS) should be used.
Plugging in the given values:
ΔG = ΔH - TΔS
ΔG = 27 kJ/mol - (300 K)(0.09 kJ/(mol-K))
ΔG = 27 kJ/mol - (27 kJ/mol)
Thus, ΔG at 300 K is:
ΔG = 0 kJ/mol