Answer :
The change in temperature, given the changes in entropy, enthalpy, and Gibbs free energy, Gibbs free energy resulting in a temperature change of 780 Kelvin.
Calculating the Change in Temperature Using Thermodynamic Quantities
To determine the change in temperature given the change in entropy ( centropy), change in enthalpy (enthalpy), and change in Gibbs free energy (Gibbs free energy), we use the following formula derived from the Gibbs free energy equation:
delta G = delta H - T delta S
Where delta G is the change in Gibbs free energy, delta H is the change in enthalpy, T is the temperature in Kelvin, and delta S is the change in entropy. We rearrange this equation to solve for the temperature change (T):
T = ( delta H - delta G) / delta S
Given:
Change in entropy delta S = 150 J K⁻¹ mol⁻¹
Change in enthalpy delta H = -99.3 kJ/mol = -99300 J/mol
Change in Gibbs free energy delta G = -105 kJ/mol = -105000 J/mol
Substitute the values into the temperature equation:
T = ( (-99300 J/mol) - (-105000 J/mol) ) / (150 J K⁻¹ mol⁻¹)
T = 780 K
The change in temperature, in this case, is 780 Kelvin.
