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The reflexive property, which is a property of all equivalence relations. Two other properties, besides reflexivity, of equivalence relations are: symmetry and transitivity.
Decided and reached are past tense.
the second derivative at an inflectiion point is zero
Because calculus applications are almost infinite. In fact, every branch of science uses calculus : physics, chemistry, biology, social studies, economics, etc. Calculus is a universal language that can be used to answer bunches of questions. Using calculus, you can solve various problems including the acceleration of planets in orbit, the kinetic energy of a car in motion, the equivalence point of a chemical reaction, the maximal profit a business can make, the lenght of any curved figure or the area and volume of eccentrical shapes, the electric field produced by a charged object, ... Calculus is interesting because you can use it everywhere!
linear
Yes
Titration error is simply the difference between the end point of a titration and the equivalence point of it. It can mathematically defined as Error = Vol(End Point) - Vol(Equivalence Point)
pH = 5.56 at 36.0 ml(equivalence point)
The equivalence point is the point in a titration when the amount of added standard reagent is chemically equal to the amount of analyte. The end point is the point in a titration when a physical change occurring immediate after the equivalence point
the equivalence point has been reached
The chemical process for back titration is to titrate the analyte past the original end point/equivalence point, and then BACK titrate the excess titrant to equivalence.
These terms are synonyms.
The equivalence point represents a region where the amount of acid to base (or base to acid) concentration is equal. Before the equivalence point there is a greater amount of acid (or base, depending on the titration). After the titration there is a greater amount of base (or acid). This reverse in dominance results in a dramatic change in pH.
The purpose of a titration is to find the equivalence point (stoichiometric point) of a solution. At the equivalence point, the moles of the titrant and analyte are equal to one another. At the midpoint of the solution, the pKa value is equal to the pH value.
No. The equivalence point is reached when the moles of titrant equals the moles of analyte.
when the equivalence point of a titration is achieved.. Added: (More precisely:) The equivalence point is the point where the number of moles of base equal the number of moles of acid. The end point is the point where the indicator being used changes color (also 'indication point)'. If the indicator is chosen correctly, the end point will essentially be exactly as near as possible at the equivalence point. The point of the titration is to find the equivalence point -- the end point is just a very close approximation to it. This is because the pH of the solution changes very rapidly close to the equivalence point. Therefore, the indicator will change color very close to the equivalence point because of the steepness of the pH change
It is the equivalence point.