Thermodynamics: Gibs free energy

In summary, the standard Gibbs free energy of formation of water vapor at 25 C is -227 kJ/mol. This is calculated using the equation ΔG = ΔH - TΔS, where the values of ΔH = -484 KJ/mol and ΔS= -89 J/mol K are provided for the reaction 2H2(g) + O2(g) >>> 2H2O(g) under standard conditions. The conversion of 25 C to kelvin is also necessary for the calculation. It is important to note that the correct answer is given in kJ/mol, not per 2 mols of water, so the provided answer needs to be divided by 2.
  • #1
ortegavs
13
0

Homework Statement


What is the standard Gibbs free energy of formation of water vapor at 25 C, if , for the reaction shown below under standard conditions, Δ H = -484 KJ/mol and ΔS= -89 J/mol K?
2H2(g) + O2(g) >>> 2H2O(g)

Homework Equations



ΔG = ΔH - TΔS


The Attempt at a Solution

I converted 25 C to kelvin. I then simply plugged in the values. -484000J/mol -(298K(-89J/mol k)) I get -457 kJ/mol. Answer provided is -227. I don't understand how they got this number.
 
Physics news on Phys.org
  • #2
I think I understand. The answer that I provided is for the equation which has 2 mols of water. The correct answer is kJ/mol not per 2mols so I have to divide by 2 to get the correct answer. Can someone back me up on this?
 

FAQ: Thermodynamics: Gibs free energy

What is Gibbs free energy?

Gibbs free energy is a thermodynamic quantity that measures the amount of energy available in a system to do work. It is a combination of the system's internal energy and the energy that can be exchanged with its surroundings.

How is Gibbs free energy related to enthalpy and entropy?

Gibbs free energy is related to enthalpy (heat content) and entropy (disorder) through the equation ΔG = ΔH - TΔS, where T is the temperature in Kelvin. This equation is known as the Gibbs-Helmholtz equation.

What does a negative ΔG value indicate?

A negative ΔG value indicates that a chemical reaction or physical process is spontaneous and will occur without the addition of external energy. This means that the reaction is thermodynamically favorable.

What factors affect the value of ΔG?

The value of ΔG is affected by temperature, pressure, and the concentrations of reactants and products. It also depends on the conditions under which the reaction is taking place (e.g. constant temperature and pressure).

What is the practical significance of Gibbs free energy?

Gibbs free energy is an important concept in thermodynamics because it helps predict the spontaneity and direction of chemical reactions. It is also used in engineering and industry to optimize processes and determine the maximum amount of work that can be obtained from a system.

Back
Top