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
The equivalence point is reached in a titration when the moles of acid are equal to the moles of base added. At the equivalence point, the pH of the solution is at its maximum or minimum value, depending on whether a strong acid or base is used in the titration.
Continuing the titration after the equivalence point allows for the detection of excess titrant in the solution. This helps to ensure that the exact amount of titrant required to reach the equivalence point has been added. It also allows for a more accurate determination of the endpoint of the titration.
Endpoint titration refers to the point in a titration where the indicator changes color, signaling that the reaction is complete. Equivalence point, on the other hand, is the point in the titration where the moles of the titrant are stoichiometrically equal to the moles of the analyte. The equivalence point does not necessarily coincide with the endpoint, as the indicator may change color before or after reaching the equivalence point.
No, the equivalence point of a titration is not always zero. The equivalence point is the point in a titration where the amount of titrant added is stoichiometrically equivalent to the amount of analyte present in the sample, leading to a neutralization reaction. The pH at the equivalence point depends on the nature of the reaction and the strengths of the acid and base involved.
The indicator changes color at the endpoint of the titration, which is when the reaction between the analyte and titrant is chemically complete. This change in color helps signal that the equivalence point has been reached.
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 endpoint of a titration is the point at which the reaction between the titrant and analyte is complete. This is typically determined by a change in a physical property, such as a color change or a sudden change in pH, indicating that the equivalence point has been reached.
The end point of a titration indicates the point at which the reaction has reached stoichiometric equivalence between the titrant and analyte. This is typically signaled by a noticeable change in a physical property, such as a color change in an indicator or a change in pH.
Indicators are used in titration to visually show when the equivalence point is reached. They change color at a certain pH, allowing you to determine when the reaction is complete. This helps in determining the endpoint of the titration and obtaining accurate results.
The equivalence point is where the moles of acid and base in a reaction are present in stoichiometrically equal amounts, resulting in complete neutralization. It is called the equivalence point because the reactants are equivalent in terms of their chemical equivalence at this stage of the titration process.
The volume increases during an acid-base titration because the titrant (acid or base) is added to the solution being titrated in small increments until the equivalence point is reached, which is when the reaction is complete. This addition of titrant gradually increases the total volume of the solution until the stoichiometric equivalence point is reached.
The end point in an acid-base titration is the point at which an indicator changes color and signifies that equivalence has been reached between the acid and base being titrated. This is when the amount of acid and base are in stoichiometric proportions.