Organic polymers were developed in the 1960s as aids to coagulants and, in some cases, as replacements for the inorganic metal salt coagulants. Synthetic organic polymers are high molecular weight compounds that carry negative, positive or neutral charges. When organic polymers are added to water with particulates, the high molecular weight compounds adsorb onto particle surfaces and through interparticle bridging coalesce with other particles to form floc. PolyDADMAC is a popular cationic (positively charged) organic polymer used in water purification plants.[7]:667–8
In 1977 Cape Coral, Florida became the first municipality in the United States to use the RO process on a large scale with an initial operating capacity of 11.35 million liters (3 million US gal) per day. By 1985, due to the rapid growth in population of Cape Coral, the city had the largest low-pressure reverse-osmosis plant in the world, capable of producing 56.8 million liters (15 million US gal) per day (MGD).[7]
Visual inspection cannot determine if water is of appropriate quality. Simple procedures such as boiling or the use of a household activated carbon filter are not sufficient for treating all possible contaminants that may be present in water from an unknown source. Even natural spring water – considered safe for all practical purposes in the 19th century – must now be tested before determining what kind of treatment, if any, is needed. Chemical and microbiological analysis, while expensive, are the only way to obtain the information necessary for deciding on the appropriate method of purification.
While nearly everyone loves the taste from this water filtration system, a few people tested the pH and complained that it wasn’t as alkaline as they hoped for in a system that adds back beneficial minerals. However, the company points out that the pH filter will raise acidity by 1-1.5 levels, so the final pH will depend on the chemistry of the water that you’re starting with. 
Formally, reverse osmosis is the process of forcing a solvent from a region of high solute concentration through a semipermeable membrane to a region of low-solute concentration by applying a pressure in excess of the osmotic pressure. The largest and most important application of reverse osmosis is the separation of pure water from seawater and brackish waters; seawater or brackish water is pressurized against one surface of the membrane, causing transport of salt-depleted water across the membrane and emergence of potable drinking water from the low-pressure side.

Iodine solutions kill bacteria by upsetting the ion balance within the cell, replacing chemicals that the bacteria needs to survive with iodide ions. Iodine can also be poisonous to humans, and can be especially harmful to young children, and pregnant women. You should be careful not to use too much iodine when purifying your water, and if at all possible avoid using it as a primary purification method for extended periods of time. If you find yourself in a survival situation, for an extended period of time, you should consider setting up a still, or boiling the water if possible.
"The overall study results revealed that the CHLOR-FLOC system was not adequate to physically remove, or to provide adequate chemical disinfection of, Cryptosporidium oocysts to the required level of 99.9 percent reduction. Water, Purification, CHLOR-FLOC tablets, Micro-organisms, Cryptosporidium, Klebseilla, Echovirus, Latex beads, Protozoan cysts, Bacteria, Disinfection, Coagulation." Source:
A reverse osmosis system is typically installed under the sink, but you can install it where your water enters the house, so all your water is filtered for contaminants. RO filter cartridges provide the most effective filtration of any water purifiers. The membrane and filters remove up to 99 percent of contaminants such as arsenic, lead, ammonia and chlorine, as well as toxic fluoride, sodium, nitrates and heavy metals. The 6 stage RO filters provide a deep filtering process, leaving you reverse osmosis water, free of sediments and toxins. RO water is perfect for drinking, cooking and making ice.

The APEC Ultimate 6-Stage Reverse Osmosis system removes up to 99 percent of bacteria, contaminants, and solids. But it also adds back in calcium and magnesium, which are beneficial minerals for your health and improve the taste of drinking water. The system is rated for purifying up to 75 gallons per day, which is plenty for the average family’s daily needs. The system includes a flow restrictor and an automatic shutoff valve that help to reduce wastewater to 3 gallons for every 1 gallon of purified water produced. Some other systems produce in excess of 5 gallons of wastewater to every 1 gallon of purified water.

Disinfection is accomplished both by filtering out harmful micro-organisms and by adding disinfectant chemicals. Water is disinfected to kill any pathogens which pass through the filters and to provide a residual dose of disinfectant to kill or inactivate potentially harmful micro-organisms in the storage and distribution systems. Possible pathogens include viruses, bacteria, including Salmonella, Cholera, Campylobacter and Shigella, and protozoa, including Giardia lamblia and other cryptosporidia. After the introduction of any chemical disinfecting agent, the water is usually held in temporary storage – often called a contact tank or clear well – to allow the disinfecting action to complete.
Distillation is a water purification method that utilizes heat to collect pure water in the form of vapor. This method is effective by the scientific fact that water has a lower boiling point than other contaminants and disease-causing elements found in water. Water is subjected to a heat source until it attains its boiling point. It is then left at the boiling point until it vaporizes. This vapor is directed into a condenser to cool. Upon cooling, vapor is reversed into liquid water that is clean and safe for drinking. Other substances that have a higher boiling point are left as sediments in the container.
As with any other filter type water purification method, careful attention has to be taken to pathogen/virus and chemicals size. During hurricane Katrina a lot of the water was contaminated with petroleum based chemicals from flooded cars. What is removed from the water is dependent on the filter pore size. However, it is difficult to beat the lightweight option that water purification straws and bottles provide for most situations.
The process of distilling seawater into drinking water has been used by the Ancient Greeks since about 200 AD (Wikipedia). Many cultures throughout history have used distillation as an effective method of ensuring potable water. Although the materials used in the distillation process have changed over time, the science has remained the same, proving that distillation is a purification method that has stood the test of time. 

In a paper published in 1894, Moritz Traube formally proposed the addition of chloride of lime (calcium hypochlorite) to water to render it "germ-free." Two other investigators confirmed Traube's findings and published their papers in 1895.[42] Early attempts at implementing water chlorination at a water treatment plant were made in 1893 in Hamburg, Germany and in 1897 the city of Maidstone, England was the first to have its entire water supply treated with chlorine.[43]
Compared to reverse osmosis, filtration is considered effective when it comes to selective elimination of much smaller molecular compounds such as chlorine and pesticides. The other factor that makes filtration less costly is that it does not require a lot of energy needed in distillation and reverse osmosis. It is an economic method of water purification because little water is lost during purification.
Granular Activated Carbon adsorption: a form of activated carbon with a high surface area, adsorbs many compounds including many toxic compounds. Water passing through activated carbon is commonly used in municipal regions with organic contamination, taste or odors. Many household water filters and fish tanks use activated carbon filters to further purify the water. Household filters for drinking water sometimes contain silver as metallic silver nanoparticle. If water is held in the carbon block for longer periods, microorganisms can grow inside which results in fouling and contamination. Silver nanoparticles are excellent anti-bacterial material and they can decompose toxic halo-organic compounds such as pesticides into non-toxic organic products.[24] Filtered water must be used soon after it is filtered, as the low amount of remaining microbes may proliferate over time. In general, these home filters remove over 90% of the chlorine available to a glass of treated water. These filters must be periodically replaced otherwise the bacterial content of the water may actually increase due to the growth of bacteria within the filter unit.[13]
But the efficient reverse osmosis systems that we have reviewed, demands the filter change after every 6-12 Months. Pre-membrane filters and the post-filter changing duration depends on the quality of feed water and the RO filter that you have. The RO Membrane has the lifespan of 2-3 Years and in some cases, it can last even 4 years. RO systems filter demands only 10 minutes after every 6 months and RO Membrane will take your 20 Minutes a year for maintenance, rest of the osmosis water filter is maintenance-free. You have to follow all these instructions for keeping it as a best reverse osmosis system.
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In 1904, Allen Hazen showed that the efficiency of a sedimentation process was a function of the particle settling velocity, the flow through the tank and the surface area of tank. Sedimentation tanks are typically designed within a range of overflow rates of 0.5 to 1.0 gallons per minute per square foot (or 1.25 to 2.5 litres per square meter per hour). In general, sedimentation basin efficiency is not a function of detention time or depth of the basin. Although, basin depth must be sufficient so that water currents do not disturb the sludge and settled particle interactions are promoted. As particle concentrations in the settled water increase near the sludge surface on the bottom of the tank, settling velocities can increase due to collisions and agglomeration of particles. Typical detention times for sedimentation vary from 1.5 to 4 hours and basin depths vary from 10 to 15 feet (3 to 4.5 meters).[6]:9.39–9.40[7]:790–1[8]:140–2, 171