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Lecture 8

 

Some words about diamonds (Fig. 1)

 

Diamonds are a form of C, which are formed under elevated temperatures and high pressures (Fig. 2).

•         Definition: Pressure = Force/Area

–        In many geologic cases pressure is the weight of the mass over a unit area

ΰ hydrologic pressure: weight of water column

ΰ lithostatic pressure: weight of rock column

•         Units: 1 N/m2

–        1 N (Newton) = 1 kg m/s2

•         Other units: 1 bar = 105 N/m2

 

Diamonds are found in kimberlite pipes, which represent the surface opening of deep eruptions (Fig. 3).

 

The measurement unit used for diamonds is Carat: 1 Carat = 200 mg; 1 point is 0.01 carat

For gold, 1 carat is the relative amount of gold present 1 carat = 1 part Au in 24.

 

Three forms of carbon: diamond ΰ graphite ΰ coal (Fig. 4)

 

Energy

•         Definitions

–        Capacity to take action

–        Ability to move matter

•         First law of Thermodynamics:

–        Conservation of Energy: Energy can neither be destroyed nor created.  It can be transformed from one form into another

 

Energy Forms

•         Thermal

–        Energy of random movement of particles of a substance (‘Heat’)

•         Mechanical

–        Directed movement

•         Kinetic energy of moving object

•         Potential energy of position in gravity field

•         Electrical

–        Energy associated with moving charges in electric field

•         Radiant

–        Energy of electromagnet waves (‘Light’)

•         Chemical

–        Energy stored in chemical bonds

•         Nuclear

–        Energy stored in nuclear bonds

 

Second Law of Thermodynamics

•         Three equivalent descriptions

–        In any conversion of energy, there is always a decrease in the amount of useful energy

–        Heat cannot by itself flow from cold to hot; it spontaneously flows from hot to cold

–        The universe moves toward the equilibrium of randomness

 

Examples for Efficiencies of energy conversions

Efficiency = (Energy or work out)/(Energy or work in)

 

 

Thermal

Mech

Chem

Electr

Radiant

Thermal

 

0.45

 

0.08

 

Mechanical

 

 

 

0.95

 

Chemical

0.85

 

 

0.90

 

Electrical

 

0.90

0.72

 

0.20 Fluor.

0.05 Incand.

Radiant

 

 

 

0.10

 

 

Units

 

•         Energy

–        Kinetic energy: KE = ½ m v2 [kg m2/s2]

•         1 N = 1 kgm/s2           [N] Newton

•         1 Nm = 1 J = 1 kg m2/s2 = 1 Ws

–        [J] Joule; [W] Watt

•         Work

–        Work = Force x Distance

•         Example: W = m h g [kg m m/s2] = [J]

 

            ΰEnergy and Work have identical units: 1 J = 1 Ws

 

•         Power (Capacity to do work)

–        P = W/t  [J/s] = W

•         Energy use: Energy/Time

–        E/T [Ws/s]

•         Other expression for energy use: kWhr/yr

 

ΰ Power and Energy use have identical units:

ΰ1 J/s = 1 W

Power x Time = Energy

 

Energy production and consumption

•         The big issues:

–        Population growth

–        Growth in per capita consumption

–        Inequality of energy consumption

 

Current use

•         Average use per person:

–        World 2 kW

–        USA 11 kW

•         ΰ Total use

–        World: 2 kW/person x 6.4 x109persons = 12.8x1012W ΰ 12.8 TW

–        USA: 11 kW/person x 300x106persons = 3.3x1012W ΰ 3.3 TW