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Frequently Asked Question
Questions asked by users might not always be phrased in the clearest way.
Given a = ─ktlnq and da = ─pdv–sdt, use these expressions alone to show the following relationships
Accepted Answer
The provided equations are related to thermodynamics, specifically Gibbs Free Energy (A) and its differential form. Here's how to derive the requested relationships:
1. dA = -PdV -SdT This is the differential form of Gibbs free energy, where:
dA is the change in Gibbs free energy
P is pressure
V is volume
S is entropy
T is temperature
2. A = -kTlnQ This equation relates Gibbs free energy to the equilibrium constant (Q) and temperature (T):
k is Boltzmann constant
Deriving Relationships:
To show the relationships you're asking for, we need to clarify the specific relationships you want. Please provide the specific equations you'd like to derive from the given expressions. For instance, you might be looking to show how:
The change in Gibbs free energy (dA) relates to changes in pressure and temperature (using the first equation).
The relationship between the equilibrium constant (Q) and the change in Gibbs free energy (dA) (using both equations).
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