Gibbs free energy problem

In summary, to calculate the standard state Gibbs energy of formation of bromine vapor at room temperature, we can use the Claudius Clapeyron equation and the equilibrium vapor pressure data. By calculating the equilibrium vapor pressure at 298K, we can determine the change in Gibbs free energy of the vapor at 1 bar and 298K. The free energy of the liquid and vapor at 298K and the equilibrium vapor pressure is 0.
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Summary: Please help me with this problem ,I can't do it

The normal boiling point of liquid bromine is 58.2°C. At 9.3°C the equilibrium vapor
pressure of liquid bromine is 100 torr. From this data,

calculate the standard state Gibbs
energy of formation of bromine vapor at room temperature, ?G? f ,298K

I know that I have to use Claudius Clapeyron équation ,but How in the world I will get an absolute Gibbs energy value?
 
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  • #2
If you calculate the equilibrium vapor pressure at 298K (25 C), you can calculate the change in Gibbs free energy of the vapor in going from this pressure to the hypothetical state of 1 bar and 298K using ##dG=VdP=RTd\ln P##. Neglecting the Poynting correction, the free energy of the liquid at 298 and at the equilibrium vapor pressure is 0. And this is also the free energy of the vapor at 298 and at the equilibrium vapor pressure.
 

What is Gibbs free energy problem?

The Gibbs free energy problem is a concept in thermodynamics that relates to the spontaneity and direction of chemical reactions. It is the maximum amount of energy that can be extracted from a thermodynamic system at a constant temperature and pressure.

How is Gibbs free energy calculated?

Gibbs free energy is calculated using the equation ΔG = ΔH - TΔS, where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

What does a negative Gibbs free energy value indicate?

A negative Gibbs free energy value indicates that the reaction is spontaneous and will occur without the need for an external energy source. This means that the reactants will form products and release energy in the process.

How does Gibbs free energy relate to equilibrium?

If the Gibbs free energy value is zero, the system is at equilibrium. This means that the rate of the forward reaction is equal to the rate of the reverse reaction. Any change in the conditions (temperature, pressure, etc.) will cause the system to shift in order to maintain equilibrium.

What are the assumptions made in the Gibbs free energy equation?

The Gibbs free energy equation assumes that the reaction is taking place at constant temperature and pressure, and that the reactants and products are in their standard states. It also assumes that the reaction is in a closed system and that the concentrations of the reactants and products do not change during the reaction.

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