The relation `DeltaG=DeltaH-TDeltaS` was given by

Options

A. Boltzmann
B. Faraday
C. Gibbs-Helmholtz
D. Thomson

Answer

To solve the question regarding the relation \( \Delta G = \Delta H - T \Delta S \), we will go through the following steps:

### Step 1: Understand the Terms
- **Gibbs Free Energy (\( \Delta G \))**: This is a thermodynamic potential that measures the maximum reversible work obtainable from a thermodynamic system at constant temperature and pressure.
- **Enthalpy (\( \Delta H \))**: This is the total heat content of a system, which reflects the internal energy plus the product of pressure and volume.
- **Entropy (\( \Delta S \))**: This represents the degree of disorder or randomness in a system.
- **Temperature (T)**: This is the absolute temperature of the system, measured in Kelvin.

### Step 2: Identify the Origin of the Equation
The equation \( \Delta G = \Delta H - T \Delta S \) is derived from the principles of thermodynamics and is specifically related to the spontaneity of reactions. It indicates how the change in Gibbs free energy is influenced by changes in enthalpy and entropy.

### Step 3: Recognize the Scientists Involved
This relation is known as the **Gibbs-Helmholtz equation**, named after the scientists **Josiah Willard Gibbs** and **Hermann von Helmholtz**, who contributed to its formulation and understanding.

### Step 4: Application of the Equation
- The equation helps in predicting whether a reaction will occur spontaneously.
- If \( \Delta G < 0 \), the reaction is spontaneous.
- If \( \Delta G > 0 \), the reaction is non-spontaneous.
- If \( \Delta G = 0 \), the system is at equilibrium.

### Conclusion
The relation \( \Delta G = \Delta H - T \Delta S \) is a fundamental equation in thermodynamics, providing insight into the energy changes associated with chemical reactions and processes.