Unknown Lengths

Unknown lengths are measurable quantities in a mathematical figure or situation whose values must be determined from known information. Solving them involves translating relationships among lengths into equations, then applying principles such as the Pythagorean theorem, similarity, proportional reasoning, or algebraic manipulation to isolate the missing value. These problems develop quantitative reasoning and connect geometry with algebra, measurement, and trigonometry. They are used to calculate sides of triangles, distances in diagrams, dimensions in designs, and other quantities when direct measurement is unavailable or impractical.

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JoVE Lab Manual - Chemistry

Identification of Unknown Aldehydes and Ketones - Student Protocol

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2020

Source: Lara Al Hariri and Ahmed Basabrain at the University of Massachusetts Amherst, MA, USA DNPH Test for Aromatic Aldehydes and KetonesExpand In this lab, you'll use the DNPH test, the Tollens' test, and the iodoform test to identify two unknown aldehydes or ketones. You'll use butanone and benzaldehyde as known compounds to confirm that the tests are working as expected. You'll start the lab with the DNPH test, which relies on the reaction between 2,4-dinitrophenylhydrazine, or DNPH,...

Identification of Unknown Aldehydes and Ketones - Instructor Prep

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2020

Source: Lara Al Hariri at the University of Massachusetts Amherst, MA, USA Preparation of Test SolutionsExpand Here, we show the laboratory preparation for 10 students working in pairs, with some excess. Please adjust quantities as needed. Before you start, put on a lab coat, splash-proof safety glasses, and nitrile gloves. Note: DNPH is a shock explosive, so handle it gently with low friction tools. Phosphoric acid is also toxic and corrosive. Prepare 100 mL of a 0.1 M...

Identification of Unknown Aldehydes and Ketones - Concepts

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2020

Aldehydes and Ketones Aldehydes and ketones have a carbonyl group (C=O) as a functional group. A ketone has two alkyl or aryl groups attached to the carbonyl carbon (RCOR’). The simplest ketone is acetone, which has two methyl groups attached to the carbonyl carbon (CH3COCH3). An aldehyde is similar to a ketone, except that instead of two side groups connected to the carbonyl carbon, they have at least one hydrogen (RCOH). The simplest aldehyde is formaldehyde (HCOH), as it has two hydrogens...

Freezing-Point Depression to Determine an Unknown Compound

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2023

Source: Laboratory of Lynne O' Connell — Boston College When a solid compound is dissolved in a solvent, the freezing point of the resulting solution is lower than that of the pure solvent. This phenomenon is known as freezing-point depression, and the change in temperature is directly related to the molecular weight of the solute. This experiment is designed to find the identity of an unknown compound by using the phenomenon of freezing-point depression to determine its molecular weight. The...

Interference: Path Lengths

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2023

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same. Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...

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