From the ionization constants one may calculate, for instance, the proportion in which two competing acids will neutralize a base, when the latter is used in quantity insufficient to neutralize both acids.
An important quantitative relation between the solubility of a given ionogen in different solvents and the ionizing powers of the solvents, as determined by their dielectric constants (p.
The displacement of an acid (or base) in salts by another acid (or base) is subject always to the law that equilibrium is reached, when all the equilibrium constants are satisfied in the system.
Their values for K (last column) must be divided by 100 to express the constants in terms of the same units as those used in the above table.
In this way, the chemical behavior of these acids differs in degree, as a result of the different tendencies to ionize, which are expressed in the constants of the table.
While theconstants of a large number of organic bases[194] have been determined few constants of inorganic bases are as yet known.
They are subject to variation with the temperature, and, as a rule, as most salts are more soluble at higher than at lower temperatures, the values of the constantsincrease with the temperature.
Smale, in Nernst's laboratory, on the other hand, obtained results indicating that salt solutions have decidedly higher dielectric constants than pure water.
There are minor differences, but none of great moment—none of the kind indicated by the wide range of constants for the acids and bases.
The physical constants of many of the elements did not at first agree with those demanded by the periodic law, and a further study of many such cases showed that errors had been made.
Nevertheless it is convenient to introduce other constants which are related to the action of particular sorts of forces.
At the time when Maxwell developed his theory the dielectric constants of only a few transparent insulators were known and these were for the most part measured with steady or unidirectional electromotive force.
Cambridge, 1890) is especially valuable, not only for the exposition of the theory and its practical applications, but also for the tables of physical constants which are there given.
This fact is fully expressed by the equations (4) where we have constants on one side of the equation equal to functions of the variables on the other.
Not less comprehensive has been the work carried out by Professor Newcomb of raising to a higher grade of perfection, and reducing to a uniform standard, all the theories and constants of the solar system.
You gave me the constants of a wave you wanted it to radiate.
At the supper table Wade and Arcot reported to the others the curiousconstants they had discovered for coronium.
But its physical constantswere the most surprising.
The programmer may specify that certain variables and constants are "systems" variables and constants.
They may also be used for insertion of constants while a program is operating by means of the operate instruction.
They are but the specific values of the equation when constants are substituted for variables.
Its constants are logical constants, as the proposition, the class and the relation.
We will, therefore, examine the constants used to see if they are the exact values of the quantities they represent.
It will be seen from the above that a small change in the constants used may affect by several units the computed value of the mechanical equivalent.
Direct enumeration, in which case we can simply substitute for the variable the constants that are its values; 2.
This vanishing of the apparent logical constants also occurs in the case of 'P(dx).
The three critical constants may be determined, as Mr S.
The daily more numerous applications of the laws of corresponding states have rendered highly important the determination of the critical constants which permit these states to be defined.
He has calculated certain important mathematical constantsaccurately to more than two hundred places of decimals.
He resolved to measure anew with his own eye and with his own hand the constants of aberration and of nutation.
I mean the old table of wave constants we made up last winter.
Bring me the logarithm tables, our table of constants, and Denckel’s table of constants that we found under the middle cylinder.
After Ptolemy had published his book there seemed to be nothing more to do for the solar system except to go on observing and finding more and more accurate values for the constants involved--viz.
Airy, like Bradley, was impressed with the advantage of employing stars in the zenith for determining the fundamental constants of astronomy.
The fact is simply, that the constants in one problem are variables in the other.
In a matter as new as methods for measuring nut characteristics, the constants which have to be determined by experience must change somewhat at first.
The position of the Franquette at the bottom of the list of the propagated nuts it is believed will be materially changed with the redetermination of the constants that an examination of a large number of nuts would require.
The method used this year in testing nuts sent in to the contest was to judge them on the basis used in 1918, redetermine the constants that required it, and work out the results again.
The same constants in American society that helped decide the status of black servicemen in the nineteenth century remained influential between the world wars, but with a significant change.
In the next place it may happen that, in the progress of human knowledge, more correct formula: may be discovered, andconstants may be determined with far greater precision.
This is precisely the point in which the skill of the artist is shown; and an accomplished cook will carry himself triumphantly through it, provided happily some mean value of such constants will fit his observations.
The difference in the constants employed in those formulae has sometimes a most happy effect in promoting unanimity amongst discordant measures.
This, as Morey explained, was the control that altered the constantsof space to suit.
He put on his control machine the equation of a hyperboloid of two branches, and changed the constants gradually till the two branches came close.
So, while Arcot and his group continued their work of determining the constants of the space-energy field, the others were working on the mental control apparatus.
On the Dielectric Constants of Pure Ice, Glycerine, Nitrobenzol and Ethylene Dibromide at and above the Temperature of Liquid Air," id.
Further Observations on the Dielectric Constants of Frozen Electrolytes at and above the Temperature of Liquid Air," id.
Fleming and James Dewar on dielectric constants at low temperatures: "On the Dielectric Constant of Liquid Oxygen and Liquid Air," Proc.
S 327, who shows that a composite or stratified dielectric composed of layers of materials of different dielectric constants and resistivities would exhibit the property of residual charge.
On the Dielectric Constants of Metallic Oxides dissolved or suspended in Ice cooled to the Temperature of Liquid Air," id.
The Dielectric Constantsof Certain Organic Bodies at and below the Temperature of Liquid Air," id.
For a very complete set of tables of dielectric constants of solids, liquids and gases see A.
The dielectric constants of gases have been determined by L.
Physical and Chemical Constants of Fixed Oils and Fats.
But they had no monstrous mass-fields to change the constants of space and let them travel more swiftly.
They would use the supplied data-tables to compute firing constants for given ranges and relative speeds.
An overdrive field changed the physical constants of space.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "constants" in a variety of sentences. We hope that you will now be able to make sentences using this word.
