scholarly journals The affinity constants of amphoteric electrolytes. II.—Methyl derivatives of ortho- and meta-aminobenzoic acids

1906 ◽  
Vol 78 (522) ◽  
pp. 103-139 ◽  
Keyword(s):  
Mass Action ◽  
Law Of Mass Action ◽  
Methyl Group ◽  
Aminobenzoic Acids ◽  
Affinity Constants ◽  
Subsequent Application ◽  
Methyl Derivatives ◽  
The Law ◽  
Derivatives Of

The investigation by Winkelblech of various amphoteric electrolytes, and the subsequent application to his experimental figures of the theory of electro­lytic dissociation and the law of mass action, showed that the aminobenzoic acids exhibit their amphoteric character in a marked manner. The following paper contains the results of an investigation of the methyl derivatives of ortho- and meta-aminobenzoic acids undertaken to ascertain the effect of successive introductions of a methyl group on the strength of these substances both as acids and as bases.

scholarly journals The affinity constants of amphoteric electrolytes. I.—Methyl derivatives of para-aminobenzoic acid and of glycine

1906 ◽  
Vol 78 (522) ◽  
pp. 82-102 ◽  
Keyword(s):  
Methyl Acetate ◽  
Comparison Method ◽  
Separate Experiment ◽  
Aminobenzoic Acid ◽  
Methyl Group ◽  
Affinity Constants ◽  
Conductivity Water ◽  
Methyl Derivatives ◽  
Derivatives Of ◽  
Acidic Constants

The following investigation was undertaken in order to determine the influence on the basic and acidic constants of successive introductions of a methyl group into an amino-acid, including the effect of changing the acid into the corresponding methyl ester. Two series of compounds were investigated, namely, the methyl derivatives of p -aminobenzoic acid and of glycine. Constants for p -aminobenzoic acid, glycine, and some of its methyl derivatives had already been determined by Winkelblech. Methods . Whenever practicable the basic constant k b was determined by means of the catalysis of methyl acetate, using the comparison method of Walker and Wood. The end point was determined in a separate experiment with decinormal hydrochloric acid; and it was found that the same result was obtained whether or not the bottle containing the reaction mixture had been opened to admit of intermediate readings being taken. In every case 1 c.c. at a time was withdrawn and titrated with N/20 caustic soda, which had been prepared from sodium and conductivity water; and unless otherwise stated, phenolphthalein was used as indicator.

The Law of Mass Action

2001 ◽  
pp. 121-128
Author(s):  
Bruce Hannon ◽  
Matthias Ruth
Keyword(s):  
Mass Action ◽  
Law Of Mass Action ◽  
The Law

scholarly journals On the Mathematics of the Law of Mass Action

2014 ◽  
pp. 3-46 ◽  
Author(s):  
Leonard Adleman ◽  
Manoj Gopalkrishnan ◽  
Ming-Deh Huang ◽  
Pablo Moisset ◽  
Dustin Reishus
Keyword(s):  
Mass Action ◽  
Law Of Mass Action ◽  
The Law

The Law of Mass Action

1994 ◽  
pp. 73-79
Author(s):  
Bruce Hannon ◽  
Matthias Ruth
Keyword(s):  
Mass Action ◽  
Law Of Mass Action ◽  
The Law

On the mechanistic foundation and limit of Liebig’s law of the minimum

2021 ◽  
Author(s):  
Jinyun Tang ◽  
William Riley
Keyword(s):  
Additive Model ◽  
Additive Models ◽  
Mass Action ◽  
Substrate Uptake ◽  
Law Of Mass Action ◽  
Growth Data ◽  
Biological Growth ◽  
Elemental Stoichiometry ◽  
The Law ◽  
Parameter Values

<p>In ecosystem biogeochemistry, Liebig’s law of the minimum (LLM) is one of the most widely used rules to model and interpret biological growth. Although it is intuitively accepted as being true, its mechanistic foundation has never been clearly presented. We here first show that LLM can be derived from the law of mass action, the state of art theory for modeling biogeochemical reactions. We further show that there are (at least) another two approximations (the synthesizing unit (SU) model and additive model) that are more accurate than LLM in approximating the law of mass action. We then evaluated the LLM, SU, and additive models against growth data of algae and plants. For algae growth, we found all three models are equally accurate, albeit with different parameter values. For plants, LLM failed to accurately model one dataset, and achieved equally good results for other datasets with very different parameters. We also find that LLM does not allow flexible elemental stoichiometry, which is an oft-observed characteristic of plants, when an organism’s growth is modeled as a function of substrate uptake flux. In summary, we caution the use of LLM for modeling biological growth if one is interested in representing the organisms’ capability in adapting to different nutrient conditions.   </p> <p><br /><br /></p>

scholarly journals QUANTITATIVE STUDIES OF BRUCELLA PRECIPITIN SYSTEMS

1938 ◽  
Vol 68 (1) ◽  
pp. 73-81 ◽  
Author(s):  
R. B. Pennell ◽  
I. F. Huddleson
Keyword(s):  
Mass Action ◽  
Law Of Mass Action ◽  
Specific Antibodies ◽  
Quantitative Studies ◽  
The Law

It has been shown that the precipitation by the endoantigens of the three species of brucella of their homologous antibodies may be described by equations developed from the law of mass action. The endoantigens may be used for the accurate calibration of brucella antisera. The nitrogen-containing constituent of the endoantigens does not always seem to be intimately connected with the ability to precipitate the specific antibodies.

COMPARISON OF BASE-EXCHANGE EQUATIONS FOUNDED ON THE LAW OF MASS ACTION

Soil Science ◽  
1944 ◽  
Vol 57 (5) ◽  
pp. 371-380 ◽  
Author(s):  
O. C. MAGISTAD ◽  
MILTON FIREMAN ◽  
BETTY MABRY
Keyword(s):  
Mass Action ◽  
Law Of Mass Action ◽  
Base Exchange ◽  
The Law
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