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Conic Section
Any curve made by slicing a cone with a plane
Elipse
An oval shape where the sum of distances to two fixed points is constant
Foci points
Two fixed points inside an elipse that define its shape
Vertices
The farthest points from that the center along the main axis of a shape
Parabola
Depending how it is placed, directrix on x or y axis
(Given equation is on x-axis so y-axis is the opposite)
Logarithm Addition and Subtraction
Log Addition > Multiplication
Log Subtraction > Division
Rectangular Coordinates
Describe a point using horizontal (x) and vertical (y) distances
Polar coordinates
Describe a point using r (distance from origin) and 0 (angle from x-axis)
Partial derivative
Taking the derivative while holding other variable constant
Geometric progression
A sequence where each term is multiplied by the same number to get the next term
Atomic #
The number of protions in the nucleus of an atom
Isotopes
Chemically idential forms of an element
Atomic Weight (mass)
Average atomic mass for the naturally occurring element (amu)
Molecular formula
Gives the exact number of different atoms found in an element (Ex. Octane C8H18)
Molecular Weight
Mass of a mole of a particular substance
Avogadro’s Number
A mole of molecules of a substance (6.022 × 10²³ moles)
Stoichiometry
THe part of chemistry concerned with measuring the properties of elements or compounds involved in a reaction
Equilibrium
A reaction @ equilibrium can go forward and back
Half-Life (t 1/2)
The time required for the concentration to decay to half its original value
Henry’s Law
The amount of dissolved gas in an liquid is proportional to its partial pressure above the liquid
Bioaccumulation
Many organic compounds are highly hydrophobic
Normality
Number of equivalent weights per liter of solution
Basics of Organic Chemistry Nomenclature
Find the longest carbon chain and give it a root name
Identify the highest priority functional group and add its suffix to the root name
Identify the types of substituente and their positions on the carbon chair, then add a numbered prefix to the root name
Nitrification
NH3 > NO3-
Municipal wastewater influent contains a significant amount of ammonia
(Ammonia exerts an oxygen demand)
(Nitrogen contributes to algal blooms)
Phosphorus Removal (HPO4-)
Generally done to control eutrophication since phosphorus is a limiting nutrient for algal bloom in most freshwater systems
Typical Surface Water Treatment Plan
Rapid Mix/Screening
Coagulation
Flocculation
Sedimentation
Filtration
Disinfection
Solids Handling
Typical Groundwater Treatment Plan
Aeration
Flocculation / Lime Soda Softening
Sedimentation
Recarbonation
Filtration
Disinfection
Distribution
Theoretical Oxygen Demand (ThOD)
Amount of oxygen required to completely oxidize a substance, calculated through stoichiometry
Chemical Oxygen Demand (COD)
Measured quantity of oxygen consumed by chemical oxidation
Biochemical Oxygen Demand (BOD)
Measured amount of oxygen consumed by the oxidation of organics by microbes
Microorganisms
Microscopic organisms that consist of a single cell or cell cluster; includes viruses that are microscopic but not considered living
Ex. Protozoa, algae, fungi, eubacteria, archaebacteria
3 Methods of Classification for Microorganisms
Cell Structure/Morphology > how it looks, shape size?
Phylogeny/Nucleic Acid Sequence > DNA
Physiology/Metabolic Capaicty > how it generates energy?
Strong Acids examples?
HNO3, HCl, H2SO4
Weak Acids Examples?
H2CO3, CH3COOH, H2S
Buffer?
A solution that resists a pH change when an acid or base is added to it
Clean Water Act (1972)
Regulations are designed to protect the water quality of surface waters (lakes, rivers, oceans) and groundwater
Ambient/Environmental standards
Standards that specify a concentration in water or air that must not be exceeded, regardless of the source
Effluent/Emission standards
Standards that specify the maximum concentration or mass of pollutant that a specific source may contribute
National Pollutant Discharge Elimination System (NPDES)
A permit system for every point-source discharger of wastewater into the environment
Safe Drinking Water Act (1974)
Focused on protecting public drinking water supplies
Water - Physical State of Impurity - DISSOLVED?
Only one phase present (liquid)
Substance may only be removed by accomplishing a phase change
Water - Physical State of Impurity - SUSPENDED?
Two phases are present (liquid and solid)
Solids are large enough to be removed by physical methods
Water - Physical State of Impurity - COLLOIDAL?
Colloidal particles are in the size range between dissolved and suspended
Groundwater Flow
Flows in pore and fractures of aquifers
Flow is induced by hydraulic gradients
Intrinsic Permeability (K)
Most important properties affecting the magnitude of K, include
Sizes and number of pores
Pore shape and connectedness
Surface textures
Aquifers
Geological formations that are saturated with water
Channel Routing
A process for predicting how a fixed wave’s shape, speed and magnitude change as it moves downstream through a river or canal
Attenuation
Reduction in peak flows
Reservoir Routing
The process of calculating how a flood wave changes as it moves through a reservoir
Hydrograph
A graph showing water flow (discharge) over time at a specific point
Water Budget
The balance between inputs and outputs
Cash Flow
A series of expenses and credits that run over the lifetime of a project
General Work Flow
Transactions typically defined in the problem statement
1st Step: where it occurs, expense/credit
2nd Step: summarize cash flow diagram
Present Worth in Econ
(P) - Money today
Future Worth in Econ
(F) - Money at the end of the time period
Annual Amount in Econ
(A) - Same payment every year
Gradient in Econ
(G) - Payment that increases by a fixed amount each year
Salvage Value
How much the assest is worth at the end of its life
Dose
Total mass of a substance to which the body is subjected
Response
Measurable physiological changes produced by the toxin
Acute
Sudden damage resulting from a single exposure to a large concentration of a substance
Chronic
Accumulated damage from repeated exposure to small concetrations over a long time period
Local
Specific to one or a few organs
Systemic
Effect is distributed throughout the body
Carcinogenic
Inducing cancer
Mutagenic
Inducing mutations in genes or chromosomes
Teratogenic
Causing defects in an embryo or fetus during development
Risk Assessment List
Data collection and evaluation
Toxicity assessment
Exposure assessment
RIsk characterization or quantitative assessment
Risk management
Exposure routes List
Inhalation
Ingestion (oral)
Absorption through contact (dermal, skin)
Enthalpy (H)
Total energy of a fluid that includes internal energy plus flow work
Used in open systems (turbines, pumps, boilers)
First Law of Thermodynamics
Energy cannot be created or destroyed, only transferred or converted
Rankine Cycle
Idealized cycle used to model stream power plants
Converts heat into work using water/steam
How does a Boiler work in Rankine Cycle
Adds heat > water becomes steam
How does a Turbine work in Rankine Cycle
Steam expands > produces work
How does a Condenser work in Rankine Cycle
Removes heat > Steam becomes liquid
How does a Pump work in Rankine Cycle
Raises pressure of liquid
Refrigeration Cycle
System that removes heat from a cold space and rejects it to a warmer area using work input
How does an Evaporator work in Refrigeration Cycle
Absorbs heat (cooling effect)
How does an Compressor work in Refrigeration Cycle
Raises pressure/temperature
How does an Condensor work in Refrigeration Cycle
Releases heat
How does an Expansion Valve work in Refrigeration Cycle
Drops pressure
Ideal Gas Mixtures
A combination of gases that each behave as ideal gases and do not chemically react
Conventional Energy examples
Coal, oil, natural gas, nuclear
mostly non-renewable
produce CO2
Environmental concerns: air pollution, waste, etc.
Alternative/Renewable Energy examples
Solar PV, Solar thermal, Wind, Hydropower, Geothermal, Biomass
mostly renewable
lower GHG emissions
Potential Energy?
Stored due to position (elevation)
Kinetic Energy
Motion
Chemical Energy
in fuels bonds
Geothermal Energy
Uses heat from inside the Earth to produce electricity or direct heating
Electrical Energy
Moving electrons
Nuclear Energy
Atomic reactions
Sound Energy
Pressure waves
Carbon Footprint
Total GHG emissions from an activity/system
Includes: fuel burned, electricity used, transport, manufacturing
Pollutant Emission Rate equation
Emission rate = flow x concentration
Tidal Power
Uses the rise and fall of ocean tides to generate electricity
Groundwater
Water stored in the pore spaces of soil or fractures in rock below ground
Aquifer
A layer of soil or rock that can store and transmit usable amounts of groundwater
Ex. Sand/gravel layer, fractured limestone
Unconfined Aquifer
Aquifer with its upper surface open to the atmosphere
Ex. Shallow sand layer beneath farmland
Confined Aquifer
Aquifer trapped between low-permeability layers
Ex. Sand layer between clay layers
Subsurface Layers of soil
Vadose Zone = unsaturated soil above water table
Saturated Zone = pores full of water
Aquitard = low permeability (clay)
Aquiclude = almost impermeable
Hydraulic Head
Total energy of groundwater at a point