Why is the standard entropy of aqueous ions negative?

In summary, the standard entropy of aqueous ions is negative because it is defined as the difference to the entropy of H+ ions. This convention is different from the standard entropies for electrically neutral substances, which are defined relative to the crystal state at 0°K. The sign of the standard entropy does not necessarily follow that of the standard energy of formation.
  • #1
Nikitin
735
27
Why is the standard entropy of aqueous ions negative? I thought it could be no less than 0, which represents a perfect crystal at 0 K?

Is it negative so that calculations can be performed properly? Or is it because it because ions solutes actually have less entropy than a perfect crystal?
 
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  • #2
Nikitin said:
Or is it because it because ions solutes actually have less entropy than a perfect crystal?

This, I think. Remember what entropy is about (things not wanting to be "pure", basically).
what's the problem statement, anyway?
 
  • #3
Nikitin said:
Why is the standard entropy of aqueous ions negative?

Do you mean the standard entropy of hydration?
Maybe you could refer to the source of the values you are considering?
 
  • #4
No, the standard entropy.

For example, PO32- (aq) has an entropy of -220J/K*mol. it's the same with many other ions in aqueous solutions. Why? Is it because ions floating in water are extremely restricted in their number of micro-states?
 
  • #5
I am not familiar to the concept of standard entropies for ions. Maybe you can give a reference?
 
  • #7
Standard entropies for ions are defined by convention as relative the the hydrogen as taken to be zero.

Standard entropies for electrically neutral substances are defined to be relative to the crystal state at 0°K

so S* for common hydrogen related species is

H2 130.6
H 114.6
H2O 188.7
OH 183.6
H+ 0
OH- -10.8

all in J/degreee K moles
Hf
Note also that the sign of S* does not follow that of ΔGf or ΔHf, the standard energies of formation, which may also be positive or negative.
 
Last edited:

Related to Why is the standard entropy of aqueous ions negative?

What is standard entropy?

Standard entropy is a measure of the degree of disorder or randomness in a system at a specific temperature, pressure, and concentration. It is denoted by the symbol S° and has units of joules per mole kelvin (J/mol K).

How is standard entropy different from entropy?

Entropy is a thermodynamic property that measures the amount of energy that is unavailable for work in a system. Standard entropy, on the other hand, is a specific value of entropy that is determined at a standard state.

What is the importance of standard entropy in chemistry?

Standard entropy is used to determine the spontaneity of a chemical reaction and to calculate the change in entropy during a process. It is also useful in predicting the stability and physical properties of substances.

How is standard entropy calculated?

Standard entropy is calculated by using the change in standard Gibbs free energy (ΔG°) and the standard temperature (T), using the equation S° = ΔG°/T. It can also be calculated using tabulated values for the standard entropy of formation of a substance.

What factors affect the standard entropy of a substance?

The standard entropy of a substance can be affected by factors such as molecular complexity, temperature, pressure, and phase changes. Generally, substances with more complex molecular structures have higher standard entropy values.

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