I'm glad that I am a geologist. There are so many things involved in
 understanding how the Earth works, that you really need to be an expert
 to apply them all . . . 
When you look at a cross-section of the Earth, you will notice that 
there are 5 different regions. The top-most region is the crust and is 
characterized by (relatively) lightweight and rigid rocks. As you move 
down toward the Earth's center, the next regions are the upper and lower
 mantle. Both regions have similar rock composition - but the upper 
mantle tends to be (relatively) brittle, while the (much warmer) lower 
mantle tends to be more "play doh"-like (no brittle cracking). The last 2
 layers consist of a liquid (outer) core and a solid (inner) core. 
We know this information from the use of seismographs - which 
measure seismic wave motion (from earthquakes). Certain seismic waves 
can propagate through liquid and others cannot - which is how we 
discovered that the outer core is liquid. The liquid core had been 
theorized by the fact that the Earth has a magnetic field (dynamo), but 
seismology proved it as fact. 
It was also noticed that seismic waves moved at a different velocity
 through the (solid) inner core compared with other layers. This meant 
that the inner core was made of a different material than the crust and 
mantle (taking into effect the pressure and temperature data also). So 
what is it made out of? 
There are ways to determine the average density of planets. It's a 
simple matter of mathematics to determine the overall density of the 
Earth, and to separate out the parts that we know. We know crustal rock 
average density, and have good data on mantle rock density. We know the 
volumes involved and we do due diligence by throwing in pressure and 
temperature data. When all is said and done, CSB states that the density
 of the inner core is close to iron.
So maybe our cannon ball idea was correct! But let's get some more data to be sure.
Calculating
 pressures at different depths is pretty straightforward. You use the 
mass and volume of the material that is above (that depth) and factor in
 gravity. We have calculated what the pressure is at the center of the 
Earth (lots!). Now let's take a look at temperature. 
You could 
specialize in Geothermal studies (studying the how the Earth's 
temperature varies with depth - called a gradient), so I couldn't do 
justice to it in such a small book. Here is a simplified version. 
 
There are 2 main sources of heat from the inside of the Earth. The first one is radioactive heating
 - where radioactive material (located in the mantle),heats up rock 
through radiation. The Oklo natural (nuclear) reactor (in Gabon Africa) 
is a neat example of how radioactive materials can generate tremendous 
amounts of heat inside the earth. 
 
The
 second source of heat is through a chemical reaction that occurs when a
 molecule of liquid iron "freezes" into a solid one (this is an 
exothermic or heat-producing reaction). This happens at the (physical) 
margin between the inner and outer cores.
 
According
 to Wikipedia (and many others), these 2 reactions cause all of the heat
 that we measure coming out of the Earth (the core area is estimated to 
be about 5700 K degrees - or about as hot as the surface of the Sun). 
According to my professor (Dr. Henry Pollack) at the University of 
Michigan, he told me that after adding up all of those heat sources the 
observed heat is an order of magnitude higher than the "theory" can 
explain. Let's take my professor's position as I trust him.
 
 
Conundrum 12: Earth's observed geothermal gradient
is an order of magnitude higher than the theory predicts.
So how the heck do you explain 10 times the heat coming from the Earth (as expected)?
 
 
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