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APES SI Prefix Unit Conversion Revision Table (10⁹ → 10⁻⁹)


Name

Scientific Notation

Prefix Name

Prefix Letter

Billion

10⁹

giga

G

Million

10⁶

mega

M

Thousand

10³

kilo

k

Hundredth

10⁻²

centi

c

Thousandth

10⁻³

milli

m

Millionth

10⁻⁶

micro

µ

Billionth

10⁻⁹

nano

n



Example 1: 67MW = 0.067GW = 67,000kW = 67,000,000W


Example 2: 12cm = 0.12m = 120mm

APES Chemical Formulas

Here are important chemical APES formulas to know:

Common Name

Chemical Equation

Respiration

C6H12O6 + 6O2 → 6CO2 + 6H2O

Combustion

Hydrocarbons (CxHy) + O2 → CO2 + H2O

Photosynthesis

6CO2 + 6H2O + sunlight → C6H12O6 + 6O2

Ocean acidification

CO2 + H2O ↔ H2CO3 ↔ H+ + HCO3-

Photochemical smog formation

NOx + VOCs + heat + sunlight → smog

Stratospheric ozone depletion

O3 + Cl → O2 + ClO

List of Mathematical Routines

Here are the important mathematical routines:

Common Name

Mathematical Formula

Population density

Population Area

Rule of 70

70 Percent growth rate

Population growth rate as a percent

Births - Deaths Number of people x 100

Rate of change

Final - Initial Final time - Initial time

Percent change

Final -Initial Initial x 100

Net Primary Productivity (NPP)

Gross primary productivity (GPP) - Respiration

Gross Primary Productivity (GPP)

GPP = Rate of photosynthesis by plants


GPP can also be expressed as:


GPP = Total solar energy captured by plants − Energy lost due to respiration by plants

Fuel efficiency

Distance traveled Unit of fuel consumed

The 10% Rule

The 10% rule states that roughly only 10% of energy transfers between trophic levels in a food chain, with the rest being lost as heat.

Dimensional Analysis

Quantity 1 x Conversion factor Quantity 2 = Result

Half-Life

t½ = ln (2) λ

LD50

LD50 = Dose Weight


Common Name

Mathematical Formula

Population density

Population / Area

Rule of 70

70 / Percent growth rate

Population growth rate as a percent

( ( Births - Deaths ) / Number of people ) x 100

Rate of change

( Final - Initial ) / ( Final time - Initial time )

Percent change

( Final - Initial ) / Initial ) x 100

Net Primary Productivity (NPP)

Gross primary productivity (GPP) - Respiration

Gross Primary Productivity (GPP)

GPP = Rate of photosynthesis by plants


GPP can also be expressed as:


GPP = Total solar energy captured by plants − Energy lost due to respiration by plants

Fuel efficiency

Distance traveled / Unit of fuel consumed

The 10% Rule

The 10% rule states that roughly only 10% of energy transfers between trophic levels in a food chain, with the rest being lost as heat.

Dimensional Analysis

Quantity 1 x ( Conversion factor / Quantity 2 )= Result

Half-Life

t½ = ln (2) / λ

LD50

LD50 = Dose / Weight



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