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Related Concept Videos

Precipitation of Ions03:11

Precipitation of Ions

Predicting Precipitation
The equation that describes the equilibrium between solid calcium carbonate and its solvated ions is:
Precipitation Gravimetry01:03

Precipitation Gravimetry

Precipitation gravimetry is based on converting an analyte into a sparingly soluble precipitate, which is separated by filtration and weighed. An ideal precipitate should be pure, insoluble, of known composition, and easily filtered from the reaction mixture.
In determining nickel by gravimetric analysis, a precipitant of ethanolic dimethylglyoxime is added to a hot nickel salt solution. This is quickly followed by the dropwise addition of dilute ammonia solution until precipitation occurs. A...
Precipitation Processes01:12

Precipitation Processes

The experimental conditions in a gravimetric analysis should be optimized to maximize the particle size and purity of the obtained precipitate. Ideally, the concentration of the precipitating reagent should be low with effective stirring to maintain low relative supersaturation for the growth of large crystals. In homogeneous precipitation, the precipitant is slowly generated by a chemical reaction in the solution to avoid local reagent excesses. For example, urea decomposes gradually to...
Types of Coprecipitation01:10

Types of Coprecipitation

Coprecipitation is the contamination of a precipitate by otherwise soluble species and occurs via different processes. In colloidal precipitates, coprecipitation occurs via surface adsorption. For instance, barium sulfate has a primary layer of adsorbed barium ions and a secondary layer of nitrate counterions. This results in contamination of the precipitate by barium nitrate.
Sometimes, ions in a crystal lattice can undergo isomorphous replacement by inclusions of similar charge and size. For...
Precipitation and Co-precipitation01:17

Precipitation and Co-precipitation

Precipitation and coprecipitation methods can be used to separate a mixture of ions in a solution. In qualitative inorganic analysis, ions that form sparingly soluble precipitates with the same reagent are separated based on the differences in solubility products. For example, consider the separation of Cu(II) and Fe(II) ions by precipitation as insoluble sulfides. First, copper(II) sulfide is precipitated by the addition of acidic H2S, where the dissociation of H2S is suppressed. Adding H2S...
Area Problem01:26

Area Problem

Determining the area of a region with straight edges is straightforward, as geometric formulas for rectangles, triangles, and polygons can be applied directly. However, traditional geometric methods are insufficient when a region has a curved boundary, such as the area under a function.fromThe area problem involves finding a systematic way to measure such regions. One approach to solving this problem is through approximation. Instead of attempting to compute the area exactly at the outset, the...

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Related Experiment Video

Updated: Jun 18, 2026

A Protocol for Conducting Rainfall Simulation to Study Soil Runoff
10:35

A Protocol for Conducting Rainfall Simulation to Study Soil Runoff

Published on: April 3, 2014

Area-perimeter relation for rain and cloud areas.

S Lovejoy

    Science (New York, N.Y.)
    |April 9, 1982
    PubMed
    Summary
    This summary is machine-generated.

    Cloud and rain area perimeters exhibit fractal geometry, lacking a characteristic horizontal scale. This finding, based on satellite and radar data, aligns with fractal theory and suggests scale-invariant properties in weather patterns.

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    Area of Science:

    • Meteorology
    • Geophysics
    • Fractal Geometry

    Background:

    • Mandelbrot's fractal theory provides a framework for analyzing irregular shapes.
    • Understanding the geometry of cloud and rain areas is crucial for meteorological modeling.

    Purpose of the Study:

    • To investigate the geometry of satellite- and radar-determined cloud and rain areas.
    • To apply the area-perimeter relationship to analyze fractal dimensions.

    Main Methods:

    • Utilized satellite and radar data for cloud and rain areas ranging from 1 to 1.2 x 10^6 km^2.
    • Applied the area-perimeter relation, P ~ A^(D/2), where P is perimeter, A is area, and D is fractal dimension.

    Main Results:

    • The area-perimeter data fit a formula where perimeter is approximately the square root of area raised to the power D.
    • The fractal dimension (D) was determined for cloud and rain perimeters.

    Conclusions:

    • Cloud and rain perimeters are confirmed to be fractals.
    • These fractal perimeters exhibit no characteristic horizontal length scale between 1 and 1000 kilometers.