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Gravity reshapes the proto-Earth into a sphere. The interior of the Earth separates into a core and mantle.
Forming the planets from planetesimals: Planetessimals grow by continuous collisions. Gradually, an irregularly shaped proto-Earth develops. The interior heats up and becomes soft.
Why is the Earth (near) spherical?
• Accretion: the gradual addition of new material
• When the Earth first accreted, it probably wasn’t spherical
• What happened?
HEAT was generated and retained
Sources of Internal Heat
• Accretionary Heat
Proto-earth
1) Gravity attracts planetesimal to the proto-earth
2) Planetesimals accelerate on their journey, gaining kinetic energy (KE=1/2mv2)
3) They strike the proto-earth at high speed
4) Their kinetic energy is converted to thermal energy (HEAT)
Sources of Internal Heat
• Radioactive Decay– The natural disintegration of certain isotopes to
form new nuclei– Time for nuclei to decay given by a “half-life”
Radioactive decay is an important source of the Earth’s internal heat
Sources of Internal Heat
• Radioactive decay– Short-lived Isotopes
26Al 26Mg + Energy + … (t1/2 = 0.72 x 106 yrs)129I 129Xe + Energy + … (t1/2 = 16 x 106 yrs)
– Long-lived Isotopes40K 40Ar + Energy + … (t1/2 = 1270 x 106 yrs)
232Th (t1/2 = 1400 x 106 yrs) 235U (t1/2 = 704 x 106 yrs)
238U (t1/2 = 4470 x 106 yrs)
The Differentiated EarthThe earth differentiated into layers by density:
1) Crust
2) Upper Mantle
1) Lithospheric
2) Asthenospheric
3) Lower Mantle
4) Outer Core
5) Inner Core
Least Dense
Most Dense
Because different minerals have different composition and densities, physical partitioning of the earth led to:
chemical differentiation
High Si
High FeLow Si
Low Fe
The Differentiated Earth
Whole Earth Density
~5.5 g/cm3
Surface Rocks
2.2 - 2.5 g/cm3
Core: Nearly pure Fe/Ni
Mantle: Fe/Mg rich, Si/Al poor
Crust: Si/Al rich, Na/K/Ca rich
Another Source of Internal Heat
• Residual heat from the formation of the core
Gravitational Settling
E=GMm/r (gravitational potential energy)• Practically speaking:
– A 1-kg ball of iron, settling from the surface to the center of the earth produces enough energy to heat a 10-kg piece of rock (granite) to 750°C, where it would begin to melt.
• Heat capacity of granite = 840 J/kg K
The Mantle
The asthenosphere may contain a few percent molten rock, but the mantle is by and large solid
Despite this, given time, it will flow
Loss of Internal Heat
• All celestial bodies lose heat– Asteroids > Moon > Mars > Earth
• There are three main mechanisms– Conduction – Convection– Radiation
• Conduction is the transfer of heat without movement of material
Temperatures in the EarthThe geotherm is the description of how the temperature of the earth increases with depth.
Near the surface (to 8 km depth):
2-3 °C/100 m depth
Heat loss by conduction!
Pure conduction geotherm
Convection
Heating at the bottom:• Increases temperature• Decreases density
Less dense hot water rises…
• Displacing the cooler, denser water at the top
Denser, cool water descends…
• Where it is heated
The Core & The Earth’s Magnetic Field
The core is almost completely Fe/Ni alloy. The outer core is liquid, while the inner core is solid.
Convection of the outer, liquid core gives rise to the Earth’s magnetic field
The Atmosphere
Present Atm.N2 (78%)O2 (21%)Ar (1%)CO2 (0.04%)H2O (varies)…others
Early Atm.N2
CO2
H2OH2SHCN…others
Where’s the H and He?