High School

Calculate the \(\Delta G\) for a reaction with \(\Delta H = 20 \, \text{J/mol}\), carried out at 27 degrees Celsius.

A. 15 J/mol
B. 20 J/mol
C. 25 J/mol
D. 30 J/mol

Answer :

Final answer:

The change in free energy (ΔG) for a reaction with ΔH = 20 J/mol at 27 degrees Celsius, assuming zero change in entropy (ΔS), is 20 J/mol.

Explanation:

To calculate the change in free energy (ΔG) for a reaction where the change in enthalpy (ΔH) is 20 J/mol, and the reaction is carried out at 27 degrees Celsius, we need to use the formula:

ΔG = ΔH - TΔS

First, convert the temperature to Kelvin:

T(K) = 27°C + 273 = 300 K

Since ΔS (change in entropy) is not provided in the question, we'll assume that ΔS is zero (e.g., for a hypothetical scenario), thus the formula simplifies to:

ΔG = ΔH - (300 K × 0 J/(mol•K))

ΔG = ΔH = 20 J/mol

Hence, the delta G for the reaction at 27 degrees Celsius would be 20 J/mol, which corresponds to option (b).