Part 1. Definitions of the formal and not so formal kind.
Quick notation being used
▲ delta, meaning difference (Example: S1- S2)
Σ sigma, meaning to sum (Example: 1+2+3+4 etc)
Q: Heat (expressed in Joules, J)
T: Temperature (expressed in Kelvins, K)
S: Entropy
Š: Entropy of the universe
↑/↓: increasing/decreasing
Entropy (S), Just what the hell is it?
Entropy is a function of the state or condition of a given system. We can say, entropy is a measurement of a given system’s energies inability to perform work, due to a loss of energy, “wasted energy” that occurs when a transition in the state of the system occurs.
Often you hear people talk of the Clausius-Boltzmann concept entropy, a relation to order. Which is really a poor definition of entropy, but if we want to really simplify entropy we can think of it as a “measure of disorder present in a system”. Again, this is a poorly expressed view of entropy. Ideally, we should think of entropy as a scale that tells us how close a system is to equilibrium.
Mathematically we can define entropy as:
▲S=Q/T (Eq. 1)
(Sorry for the poor delta sign)
Two important points about entropy;
Reversible processes do not alter the total entropy of the universe.
Meaning, the entropy of one part of the universe may change because of a reversible process, but the entropy of another part changes in an equal and opposite manner. Mathematically, ▲S = 0 J/K
Irreversible processes increase the entropy of the universe
In other words, the entropy of the universe is greater than 0 J/K, ▲S> 0 J/K.
The Second Law of Thermodynamics:
Knowing those two important points about entropy, we can state the second law with respect to entropy. In fact, it is our logical conclusion from above: Since reversible process cause no change in net entropy and irreversible ones cause a net increase, then the net entropy in the universe is only ever increasing.
What does this say about our measure of equilibrium? The universe, like a good system, is constantly approaching equilibrium.
One minor note to sort out all this order, or lack thereof business.
↑S, then we ↑ disorder and move closer to a state of equilibrium
Conversely, ↓S, then we ↓ disorder and ↑ order.
Part 2. Some conceptual explanations.
Now that we are experts on entropy and the second law (from now referred to as SLT), we can put our knowledge to use in understanding our world and universe.
Lets start simple to make sure we have a handle on this whole entropy thing. Let’s envision an ice cube. Let’s say we set this ice cube out on the table. Eventually, the ice cube melts. Now we can think of this in terms of ordered structure to ascertain just what is going on in a thermodynamical sense.

The ice cube, which at the molecular level, is very ordered. Its structure is very defined. As the ice cube melts, order decreases. Liquid water is amorphous and much more disordered than water. So in our picto-example, we have gone from a state of greater order to less order. Meaning we,
↑ disorder and ↓ order.
This fits fine with our understanding that the net entropy of the universe is always increasing. So according to the argument proposed by creationists/IDers ice should not be able form (A violation of their version of the SLT). We know this however is untrue. We make Ice cubes in our freezer and we see ice made in nature around us.
In other we see,
↓ disorder and ↑ order.
We stated that for a reversible process (ie; water↔ice); ▲S = 0 J/K
So lets do some arbitrary number calculations.
We know that the latent heat of water at 273 K is 3.35 x 105 J/Kg
Let’s say we have a 1 Kg block of ice and wish to calculate our change in ▲S for such a block.
If the block were melting (that is its gaining heat) we would calculate (using Eq.1)
▲S= {3.35 x 105 J/Kg * 1.0 Kg}/273 K = +1.2 x 103
If the block were freezing (that is its loosing heat) we would calculate (using Eq. 1)
▲S= {3.35 x 105 J/Kg * 1.0 Kg}/273 K = -1.2 x 103
So for the universe,
Š= ▲S= +1.2 x 103 + (-1.2 x 103)= 0 J/K
Which is supports the second law.
This is an extremely simple example, I am sure the engineers are pulling their hair out of the simplicity, however this is to help the “layman”.
Biological molecules can be thought of as our ice cube. Their formation is a reversible process. And we know now that reversible processes do not reduce the entropy of the universe and so pose no problem for the second law of thermodynamics.
Hopefully this will help clear up any misconceptions you may have. If anyone has any questions, thoughts or comments, feel free to add to the thread and as usual I will answer to the best of my ability.
And apologies to Apostle for this taking so long to post, been real busy lately.
