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Identify the correct statement for chang...

Identify the correct statement for change of Gibbs energy for a system `(DeltaG_(system))` at constant temperature and pressure:

A

If `DeltaG_("system") gt 0`, the process is spontaneous

B

If `DeltaG_("system") = 0` the system has attained equilibrium

C

If `DeltaG_("system") = 0`, the system is still moving in a particlular direction

D

If `DeltaG_("system") lt 0`, the process is not spontaneous

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To identify the correct statement for the change of Gibbs energy for a system (ΔG_system) at constant temperature and pressure, we can follow these steps: ### Step 1: Understand the Concept of Gibbs Free Energy Gibbs free energy (G) is a thermodynamic potential that measures the maximum reversible work that can be performed by a thermodynamic system at constant temperature and pressure. The change in Gibbs free energy (ΔG) is given by the equation: \[ \Delta G = \Delta H - T \Delta S \] where: - ΔH = change in enthalpy - T = absolute temperature - ΔS = change in entropy ### Step 2: Analyze the Conditions at Equilibrium At equilibrium, the system is in a state where there is no net change occurring. This means that: - The change in entropy (ΔS) is zero because the system has reached maximum entropy. - Therefore, substituting ΔS = 0 into the Gibbs free energy equation gives: \[ \Delta G = \Delta H - T \cdot 0 \] \[ \Delta G = \Delta H \] ### Step 3: Determine the Value of ΔG at Equilibrium At equilibrium, the Gibbs free energy change (ΔG) is also zero. This is because, at equilibrium, there is no driving force for the reaction to proceed in either direction. Thus: \[ \Delta G = 0 \] ### Step 4: Conclusion From the analysis, we can conclude that the correct statement regarding the change of Gibbs energy for a system at constant temperature and pressure is: - If ΔG_system = 0, the system has attained equilibrium. ### Final Answer The correct statement is: **If ΔG_system = 0, the system has attained equilibrium.** ---
To identify the correct statement for the change of Gibbs energy for a system (ΔG_system) at constant temperature and pressure, we can follow these steps: ### Step 1: Understand the Concept of Gibbs Free Energy Gibbs free energy (G) is a thermodynamic potential that measures the maximum reversible work that can be performed by a thermodynamic system at constant temperature and pressure. The change in Gibbs free energy (ΔG) is given by the equation: \[ \Delta G = \Delta H - T \Delta S \] where: - ΔH = change in enthalpy - T = absolute temperature ...
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