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Multiple Choice
Consider a reaction at 100˚C with ΔG = 15 KJ and ΔH = 40 KJ. Calculate the system's change in entropy.
A
139.13 kJ/K
B
-13.3 kJ/K
C
0.15 kJ/K
D
0.07 kJ/K
Verified step by step guidance
1
Start by recalling the Gibbs free energy equation: ΔG = ΔH - TΔS, where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
Convert the given temperature from Celsius to Kelvin. Since the temperature is given as 100˚C, add 273.15 to convert it to Kelvin: T = 100 + 273.15 = 373.15 K.
Rearrange the Gibbs free energy equation to solve for ΔS: ΔS = (ΔH - ΔG) / T.
Substitute the given values into the rearranged equation: ΔH = 40 KJ, ΔG = 15 KJ, and T = 373.15 K.
Calculate ΔS using the substituted values to find the change in entropy of the system.