Cube root calculation

K value is the ratio of the cube root of a boiling temperature to gravity. There are two widely used methods to calculate the K factor K, and the K, p. The equations used for calculating both factors are as follows ... 

Humans excel at some types of task We can recognize the face of a friend almost instantly, even though the computations in the brain required to do so are complex. On the other hand, humans are not very adept at mathematical tasks Although a computer could cube root 373232448215999 in milliseconds, few people could do this at all without the aid of pencil and paper or calculator, let alone manage it in less than a second. 

Figure 2-11 compares the observed work function, 4>, with that calculated based on the jeUium model as a function of the electron density, n.,in metals here, n, is represented in terms of the Wigner-Seitz radius which is inversely proportional to the cube root of n.. The chemical potential term (p. = —1.5 to-2.5 eV) predominates in the work function of metals of low valence electron density, while on the contrary the surface term (- e x = -0-1 -5.0 eV) predominates for... 

The table shows that many molecules are far from being symmetrical in shape, a direct confirmation of his theory. We notice incidentally the need for care in calculating the number of molecular layers contained in a thin film by the method of Rayleigh and Devaux, without further consideration. (If for example Devaux had chosen cerotic acid instead of triolein as his test case, he would have found 31 A. as the thickness of the film, whereas the cube root of the volume of a molecule is 31x25 = 9 2 A. Thus, neglecting the shape of the molecule, cerotic acid would have appeared to form a trimolecular layer.)... 

The Curta is a precision calculating machine for all arithmetical operations. Curta adds, subtracts, multiplies, divides, square and cube roots... and every other computation arising in science and commerce... Available on a trial basis. Price 125. ... 

Figure 4. Recovery of the cube-root law activity coefficients calculated from polarized sphere model using coulombic and induced dipole terms.

To calculate a power or root on your calculator, use the y button. For example, to find a cube root (yl/3), raise y to the 0.333 333 333... power with the y button. 

L describes lightness and extends from 0 (black) to 100 (white). The a coordinate represents the redness-greenness of the sample. The b coordinate represents the yellowness-blueness. The coordinates a and b have a range of approximately [—100,100]. Notice the cube root in the above equation. The cube root was introduced in order to obtain a homogeneous, isotropic color solid (Glasser et al. 1958). Visual observations correspond closely to color differences calculated in this uniform coordinate system. A transformation of the sRGB color cube to the L a b color space is shown in Figure 5.5. 

Now, it s time to round the final answer to two significant figures. Notice the units also work out in this calculation. The cube root of cm3 is cm. 

The molecular diameter is not known as well for solutes as for gases but, fortunately, useful calculations of collision frequencies may be made even when the diameters are inaccurately known. The diameter of the gas molecule can often be used for the solute molecule. Fairly satisfactory results may be obtained with a formula involving the cube root of the molar volume, v, of the pure liquid or solid solute using the formula... 

As a result of molecular orientation, it would appear less appropriate to use the cube root of the molar volume as a measure of the thickness of the monomolecular layer at the vapor-liquid interface. An accurate calculation of the monomolecular layer thickness requires a precise theoretical model of the structure of a liquid or a polymer which is beyond the scope of this paper. An example of this kind of approach is given by Roe (28) in his paper on polymeric liquids. 

As pointed out by Roe, the calculation of the monolayer thickness on the basis of the cube root of the molar volume of a polymer is rather inaccurate (29). 

Fig. 16. Correlation of S in mL of sorbed liquid per gram of poly(Sty-Wock-DVB) (prepared via anion polymerization by Rempp [143] in 1970) with the corresponding calculated cube root of the number of backbone carbon atoms in the polystyrene segments between nodules of DVB...

Q The number four can be expressed as two groups of two. The identical factors are two. The number nine can be expressed as three groups of three. Thus, three is the square root of nine. Q Four is the square root of 16. Use your calculator to determine the cube root of 16. 

The value of is in the range that favors products. Solving the equilibrium constant expression requires the evaluation of the cube root of the concentration of H2. Use the/ key on your calculator. 

Thus, the relative standard deviation of the square of a number is twice the relative standard deviation of the number, the relative standard deviation of the cube root of a number is one-third that of the number, and so forth. Examples 6-5 and 6-6 illustrate these calculations. 

Determine the cube root of 16 using your calculator. 

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