Final answer:
To calculate the equilibrium constant at 25 degrees Celsius given the standard free energy change of -107.2 kJ, the formula ΔG° = -RTlnK is used. After converting Celsius to Kelvin and plugging in the values, the equilibrium constant K is found to be approximately 5.35 x 10^18.
Step-by-step explanation:
To calculate the equilibrium constant (K) at 25 degrees Celsius using the given standard free energy change (ΔG°) of -107.2 kJ, we can use the relationship ΔG° = -RTlnK, where R is the universal gas constant and T is the temperature in Kelvin.
First, we convert the temperature to Kelvin:
25°C + 273.15 = 298.15 K.
Next, use R = 8.314 J/mol*K to calculate K:
-ΔG° = RTlnK
lnK = -ΔG° / (RT)
lnK = 107200 J/mol / (8.314 J/mol*K * 298.15 K)
lnK = 107200 / 2483.32
lnK ≈ 43.15
K = e^lnK
K = e^43.15
K ≈ 5.35 x 1018