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      • A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel (straight) lines. It can also be defined as a curve whose points are at a constant normal distance from a given curve.
      en.wikipedia.org/wiki/Parallel_curve
  1. Explain the construction and use of a typical phase diagram. Use phase diagrams to identify stable phases at given temperatures and pressures, and to describe phase transitions resulting from changes in these properties. Describe the supercritical fluid phase of matter.

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      PROBLEM \(\PageIndex{4}\) Titanium tetrachloride, TiCl 4,...

  2. Two definitions of a parallel curve: 1) envelope of a family of congruent circles, 2) by a fixed normal distance. The parallel curves of a circle (red) are circles, too. A parallel of a curve is the envelope of a family of congruent circles centered on the curve. It generalises the concept of parallel (straight) lines.

  3. Jun 6, 2017 · To read a meniscus, you first need to see what type of meniscus your liquid forms. If the meniscus is a concave meniscus, read at the lowest level of the curve. If the meniscus is convex, take your measurement at the highest point of the curve.

  4. Heating curve - shows temperature changes of a substance over time as it is heated. Cooling curve - shows temperature changes of a substance over time as it is cooled. Intermolecular forces - are forces between particles.

  5. Heating curves provide valuable information about the thermal properties of substances, including their specific heat capacities, latent heats of fusion and vaporization, and temperature ranges over which phase transitions occur.

  6. Apr 13, 2022 · Equation 8.4.15 shows that the curve of a plot of \(\ln(p/p\st)\) versus \(1/T\) (where \(p\) is the vapor pressure of a pure liquid or solid) has a slope at each temperature equal, usually to a high degree of accuracy, to \(-\Delsub{vap}H/R\) or \(-\Delsub{sub}H/R\) at that temperature.

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  8. May 19, 2021 · Properties of curved functions considered to be parallel over their domains are investigated. Parallel curves in a given plane may appear identical but are actually not superimposable and thus are not congruent.

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