High School

For a particular reaction, ΔH = 134.1 kJ and ΔS = 35.0 J/K. Calculate ΔG for this reaction at 298 K.

A) -98.5 kJ
B) -99.5 kJ
C) 98.5 kJ
D) 99.5 kJ

Answer :

Final answer:

The change in Gibbs free energy (">">ΔG") for the reaction at 298 K is calculated using the equation ">">ΔG = ΔH - TΔS". Given ">">ΔH = 134.1 kJ" and ">">ΔS = 35.0 J/K", after appropriate conversion and calculation, the result is ">">123.67 kJ".None of the Given option are correct and the correct answer for the Question is 123.67 kJ.

Explanation:

To calculate the change in free energy (">">">ΔG") for the reaction at 298 K, you can use the Gibbs free energy equation:

">">ΔG = ΔH - TΔS", where ">">ΔH" is the change in enthalpy, ">">T" is the temperature in Kelvin, and ">">ΔS" is the change in entropy.

In the given question, ">">ΔH = 134.1 kJ" and ">">ΔS = 35.0 J/K". To use the correct units, you must convert ">">ΔS" to kJ by dividing by 1000, giving ">">ΔS = 0.035 kJ/K".

Substituting the given values into the equation:

">">ΔG = ΔH - TΔS

ΔG = 134.1 kJ - (298 K)(0.035 kJ/K)

ΔG = 134.1 kJ - 10.43 kJ

ΔG = 123.67 kJ", which is not among the answers provided.

However, as there may have been an error in the question since none of the answer choices match the calculated ">">ΔG". It's important to double-check the question and the answer choices for any mistakes.