With increase in temperature, the Gibbs free energy for the adsorption...
- The Gibbs free energy (∆G) for the adsorption of a gas onto a solid surface can be described by the equation derived from thermodynamics:
- ∆G = ∆H - T∆S
where:
∆G is the change in Gibbs free energy,
∆H is the change in enthalpy (heat energy),
T is the absolute temperature (in Kelvin),
∆S is the change in entropy.
- Adsorption is typically an exothermic process meaning ∆H is negative (energy is released). During adsorption, the gas molecules get ordered on the solid surface and so ∆S (the change in entropy) is negative as well.
- If the temperature (T) increases, the value of T∆S increases because of the negative value of ∆S. Therefore, the total Gibbs free energy (∆G = ∆H - T∆S) will increase if it's initially negative. So the correct answer is The Gibbs free energy becomes more positive from a negative value with the increase in temperature.
So, With increase in temperature, the Gibbs free energy for the adsorption of a gas on to a solid surface becomes more positive from a negative value with the increase in temperature.
With increase in temperature, the Gibbs free energy for the adsorption...
The Gibbs Free Energy and Adsorption of a Gas on a Solid Surface
The Gibbs free energy (ΔG) is a thermodynamic potential that measures the maximum reversible work that can be performed by a system at constant temperature and pressure. It is a useful parameter to determine the spontaneity and equilibrium of a chemical reaction or process.
When it comes to the adsorption of a gas on a solid surface, the Gibbs free energy can provide insights into the feasibility and energetics of the process. Adsorption is the adhesion of atoms, ions, or molecules from a gas, liquid, or dissolved solid to a surface. It is a surface phenomenon that occurs due to intermolecular forces.
Influence of Temperature on Adsorption
The temperature plays a crucial role in adsorption processes. As the temperature increases, the thermal energy of the system also increases. This increase in thermal energy affects the adsorption process in several ways.
1. Effect on the Kinetics of Adsorption
- At higher temperatures, the kinetic energy of gas molecules increases, leading to more frequent collisions with the solid surface.
- This results in a higher rate of adsorption, as more gas molecules can overcome the activation energy barrier and adhere to the surface.
2. Effect on the Equilibrium of Adsorption
- The equilibrium constant (K) for the adsorption process is related to the Gibbs free energy change (ΔG) through the equation: ΔG = -RT ln(K), where R is the gas constant and T is the temperature.
- As the temperature increases, the value of ΔG becomes more positive from a negative value.
- This indicates that the adsorption process becomes less favorable at higher temperatures.
- In other words, the increase in temperature reduces the extent of adsorption on the solid surface.
Explanation of the Correct Answer
The correct answer to the given question is option 'C' - "Becomes more positive from a negative value."
- The increase in temperature affects the Gibbs free energy (ΔG) for the adsorption process.
- At lower temperatures, ΔG is negative, indicating a favorable adsorption process.
- However, as the temperature increases, the value of ΔG becomes more positive from a negative value.
- This implies that the adsorption process becomes less favorable or less spontaneous at higher temperatures.
- The increase in temperature provides more thermal energy to the system, reducing the attractive forces between the gas molecules and the solid surface.
- Consequently, the extent of adsorption decreases, leading to a more positive ΔG value.
In summary, the increase in temperature leads to a decrease in the extent of adsorption on a solid surface, resulting in a more positive value of the Gibbs free energy.
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