Cubical coefficients of thermal expansion

This table lists values of /3, the cubical coefficient of thermal expansion, taken from Essentials of Quantitative Analysis, by Benedetti-Pichler, and from various other sources. The value of /3 represents the relative increases in volume for a change in temperature of 1°C at temperatures in the vicinity of 25°C, and is equal to 3 a, where a is the linear coefficient of thermal expansion. Data are given for the types of glass from which volumetic apparatus is most commonly made, and also for some other materials which have been or may be used in the fabrication of apparatus employed in analytical work. 

Problem 2.24 A new polymer is found to have glass transition at 90°C and its cubic coefficient of thermal expansion is 5.6xlO"" at 120°C. Can this polymer be used in an application which requires the cubic coefficient of thermal expansion to be less than 4xl0 °K at 60° C ... 

IL A new polymer has been synthesized in your laboratory, and you are proudly discussing the first property studies when your boss walks in. We need a polymer with a cubic coefficient of thermal expansion of less than 4 X lO deg" at 50°C. Can we consider your new stuff ... 

Expansion. An increase of dimension. It can be cubical or volume expansion — increase in three dimensions linear — increase in length thermal — increase in volume due to increase in temperature. The rate varies with temp and depends on the coefficient of thermal expansion, which.is defined in Ref 2 and described more fully below under "Expansion, Thermal Coefficient of ... 

The coefficients of thermal expansion.—The coefl. of cubical expansion of liquid chlorine follows from the determinations of sp. gr. at various temp. According to A. Lange s data,17 the coeff. of expansion of liquid chlorine, a, is... 

The coefficient of thermal expansion (linear) for crystals of potassium bromide, by H. Fizeau, is a=0 000042007 at 40°. The coeff. of cubical expansion of crystals of the alkali bromides, by G. P. Baxter and C. C. Wallace, are ... 

Coefficient of Thermal Expansion is the ratio of the increase in length (linear), area (superficial), or volume (cubical) of a body for a given rise in temperature (usually from 0° to 1°C), to the original size. Some values are given in Ref and under individual values a... 

If the quadratic and cubic terms are dropped, then we obtain Fo = h as a first approximation to the smallest root of the equation. This would represent the volume of the liquid. Using this approximate value of F in the higher terms, show that the next approximation for the volume of the liquid is F = h + b RTja. From this expression show that the first approximation for the coefficient of thermal expansion of a van der Waals liquid is a = bR/a. 

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