Is there a name for this algorithm to calculate the concentration of a mixture of two solutions containing...












3












$begingroup$


There is an algorithm called "Mischungskreuz" (German for "x of mixing") that is sometimes taught as a shortcut to figure out the following problem:



You have two solutions that contain a solute at different concentrations $c_1$ and $c_2$. At what ratio $V_1/V_2$ do you have to mix them so that the mixture has the desired concentration $c_m$?



For example, let's say you want to make a 22% solution from a 35% and a 15% solution. You write the desired concentration in the center and the available concentrations at the left ends of the "x", and get the ratio of volumes on the right side of the "x" as shown below:



enter image description here



So in this case, mix 7 parts of 35% with 13 parts of 15% solution to get the desired 22%.



Source: https://de.wikipedia.org/wiki/Mischungskreuz



My questions are: Is this method taught outside of Germany, and is there a non-German (maybe English?) name for it?






solutions analytical-chemistry concentration terminology







share|improve this question











$endgroup$












  • $begingroup$
    Cute. I never saw that before.
    $endgroup$
    – MaxW
    1 hour ago






  • 1




    $begingroup$
    Very interesting! I have not seen it any English textbook so far. I am an analytical chemist. Most English books teach the dilution formula or mass balance as CiVi=CfVf. The German mixing cross (if this translation is better of Mischungskreuz) is a short cut to solve two problems. If you check Wörterbuch der Chemie / Dictionary of Chemistry: Deutsch/Englisch - English, it also calls it the dilution formula. books.google.com/…
    $endgroup$
    – M. Farooq
    1 hour ago
















3












$begingroup$


There is an algorithm called "Mischungskreuz" (German for "x of mixing") that is sometimes taught as a shortcut to figure out the following problem:



You have two solutions that contain a solute at different concentrations $c_1$ and $c_2$. At what ratio $V_1/V_2$ do you have to mix them so that the mixture has the desired concentration $c_m$?



For example, let's say you want to make a 22% solution from a 35% and a 15% solution. You write the desired concentration in the center and the available concentrations at the left ends of the "x", and get the ratio of volumes on the right side of the "x" as shown below:



enter image description here



So in this case, mix 7 parts of 35% with 13 parts of 15% solution to get the desired 22%.



Source: https://de.wikipedia.org/wiki/Mischungskreuz



My questions are: Is this method taught outside of Germany, and is there a non-German (maybe English?) name for it?






solutions analytical-chemistry concentration terminology







share|improve this question











$endgroup$












  • $begingroup$
    Cute. I never saw that before.
    $endgroup$
    – MaxW
    1 hour ago






  • 1




    $begingroup$
    Very interesting! I have not seen it any English textbook so far. I am an analytical chemist. Most English books teach the dilution formula or mass balance as CiVi=CfVf. The German mixing cross (if this translation is better of Mischungskreuz) is a short cut to solve two problems. If you check Wörterbuch der Chemie / Dictionary of Chemistry: Deutsch/Englisch - English, it also calls it the dilution formula. books.google.com/…
    $endgroup$
    – M. Farooq
    1 hour ago














3












3








3


1



$begingroup$


There is an algorithm called "Mischungskreuz" (German for "x of mixing") that is sometimes taught as a shortcut to figure out the following problem:



You have two solutions that contain a solute at different concentrations $c_1$ and $c_2$. At what ratio $V_1/V_2$ do you have to mix them so that the mixture has the desired concentration $c_m$?



For example, let's say you want to make a 22% solution from a 35% and a 15% solution. You write the desired concentration in the center and the available concentrations at the left ends of the "x", and get the ratio of volumes on the right side of the "x" as shown below:



enter image description here



So in this case, mix 7 parts of 35% with 13 parts of 15% solution to get the desired 22%.



Source: https://de.wikipedia.org/wiki/Mischungskreuz



My questions are: Is this method taught outside of Germany, and is there a non-German (maybe English?) name for it?






solutions analytical-chemistry concentration terminology







share|improve this question











$endgroup$




There is an algorithm called "Mischungskreuz" (German for "x of mixing") that is sometimes taught as a shortcut to figure out the following problem:



You have two solutions that contain a solute at different concentrations $c_1$ and $c_2$. At what ratio $V_1/V_2$ do you have to mix them so that the mixture has the desired concentration $c_m$?



For example, let's say you want to make a 22% solution from a 35% and a 15% solution. You write the desired concentration in the center and the available concentrations at the left ends of the "x", and get the ratio of volumes on the right side of the "x" as shown below:



enter image description here



So in this case, mix 7 parts of 35% with 13 parts of 15% solution to get the desired 22%.



Source: https://de.wikipedia.org/wiki/Mischungskreuz



My questions are: Is this method taught outside of Germany, and is there a non-German (maybe English?) name for it?






solutions analytical-chemistry concentration terminology




solutions analytical-chemistry concentration terminology






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 1 min ago









andselisk

18.3k656121




18.3k656121










asked 1 hour ago









Karsten TheisKarsten Theis

3,261538




3,261538












  • $begingroup$
    Cute. I never saw that before.
    $endgroup$
    – MaxW
    1 hour ago






  • 1




    $begingroup$
    Very interesting! I have not seen it any English textbook so far. I am an analytical chemist. Most English books teach the dilution formula or mass balance as CiVi=CfVf. The German mixing cross (if this translation is better of Mischungskreuz) is a short cut to solve two problems. If you check Wörterbuch der Chemie / Dictionary of Chemistry: Deutsch/Englisch - English, it also calls it the dilution formula. books.google.com/…
    $endgroup$
    – M. Farooq
    1 hour ago


















  • $begingroup$
    Cute. I never saw that before.
    $endgroup$
    – MaxW
    1 hour ago






  • 1




    $begingroup$
    Very interesting! I have not seen it any English textbook so far. I am an analytical chemist. Most English books teach the dilution formula or mass balance as CiVi=CfVf. The German mixing cross (if this translation is better of Mischungskreuz) is a short cut to solve two problems. If you check Wörterbuch der Chemie / Dictionary of Chemistry: Deutsch/Englisch - English, it also calls it the dilution formula. books.google.com/…
    $endgroup$
    – M. Farooq
    1 hour ago
















$begingroup$
Cute. I never saw that before.
$endgroup$
– MaxW
1 hour ago




$begingroup$
Cute. I never saw that before.
$endgroup$
– MaxW
1 hour ago




1




1




$begingroup$
Very interesting! I have not seen it any English textbook so far. I am an analytical chemist. Most English books teach the dilution formula or mass balance as CiVi=CfVf. The German mixing cross (if this translation is better of Mischungskreuz) is a short cut to solve two problems. If you check Wörterbuch der Chemie / Dictionary of Chemistry: Deutsch/Englisch - English, it also calls it the dilution formula. books.google.com/…
$endgroup$
– M. Farooq
1 hour ago




$begingroup$
Very interesting! I have not seen it any English textbook so far. I am an analytical chemist. Most English books teach the dilution formula or mass balance as CiVi=CfVf. The German mixing cross (if this translation is better of Mischungskreuz) is a short cut to solve two problems. If you check Wörterbuch der Chemie / Dictionary of Chemistry: Deutsch/Englisch - English, it also calls it the dilution formula. books.google.com/…
$endgroup$
– M. Farooq
1 hour ago










1 Answer
1






active

oldest

votes


















2












$begingroup$

This is a so-called Pearson's square or Box method of balancing ratios, and not only chemical ones.



Widely popularized in Soviet books for analytical chemistry at least since 1940s (probably adapted from the German literature as many other tech novelties of that time were), also used in current Russian literature by the names "Метод креста" ("Cross method"); "Конверт Пирсона" ("Pearson's envelope") or "Диагональная схема правила смешения" ("Diagonal mixing rule scheme").






share|improve this answer











$endgroup$









  • 1




    $begingroup$
    Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
    $endgroup$
    – M. Farooq
    1 hour ago











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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









2












$begingroup$

This is a so-called Pearson's square or Box method of balancing ratios, and not only chemical ones.



Widely popularized in Soviet books for analytical chemistry at least since 1940s (probably adapted from the German literature as many other tech novelties of that time were), also used in current Russian literature by the names "Метод креста" ("Cross method"); "Конверт Пирсона" ("Pearson's envelope") or "Диагональная схема правила смешения" ("Diagonal mixing rule scheme").






share|improve this answer











$endgroup$









  • 1




    $begingroup$
    Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
    $endgroup$
    – M. Farooq
    1 hour ago
















2












$begingroup$

This is a so-called Pearson's square or Box method of balancing ratios, and not only chemical ones.



Widely popularized in Soviet books for analytical chemistry at least since 1940s (probably adapted from the German literature as many other tech novelties of that time were), also used in current Russian literature by the names "Метод креста" ("Cross method"); "Конверт Пирсона" ("Pearson's envelope") or "Диагональная схема правила смешения" ("Diagonal mixing rule scheme").






share|improve this answer











$endgroup$









  • 1




    $begingroup$
    Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
    $endgroup$
    – M. Farooq
    1 hour ago














2












2








2





$begingroup$

This is a so-called Pearson's square or Box method of balancing ratios, and not only chemical ones.



Widely popularized in Soviet books for analytical chemistry at least since 1940s (probably adapted from the German literature as many other tech novelties of that time were), also used in current Russian literature by the names "Метод креста" ("Cross method"); "Конверт Пирсона" ("Pearson's envelope") or "Диагональная схема правила смешения" ("Diagonal mixing rule scheme").






share|improve this answer











$endgroup$



This is a so-called Pearson's square or Box method of balancing ratios, and not only chemical ones.



Widely popularized in Soviet books for analytical chemistry at least since 1940s (probably adapted from the German literature as many other tech novelties of that time were), also used in current Russian literature by the names "Метод креста" ("Cross method"); "Конверт Пирсона" ("Pearson's envelope") or "Диагональная схема правила смешения" ("Diagonal mixing rule scheme").







share|improve this answer














share|improve this answer



share|improve this answer








edited 1 hour ago

























answered 1 hour ago









andseliskandselisk

18.3k656121




18.3k656121








  • 1




    $begingroup$
    Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
    $endgroup$
    – M. Farooq
    1 hour ago














  • 1




    $begingroup$
    Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
    $endgroup$
    – M. Farooq
    1 hour ago








1




1




$begingroup$
Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
$endgroup$
– M. Farooq
1 hour ago




$begingroup$
Very interesting and thanks for sharing this info. I have always been in favor of learning another language besides English for scientific purposes. English is my second language. I am writing one article for the Journal of Chemical Education on the utility of foreign languages in literature search. Your point provides another motivation to finish that article soon.
$endgroup$
– M. Farooq
1 hour ago


















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