﻿84:@0.057273:0.966074:0.076087:0.966074:0.076087:0.949450:0.057273:0.949450:0.000000:0.000000
Balanceo de ecuaciones de neutralización:@0.403819:0.086667:0.799749:0.086667:0.799749:0.065896:0.403819:0.065896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una solución iónica o electrolítica en donde están reaccionando :@0.403819:0.102512:0.895445:0.102512:0.895445:0.086014:0.403819:0.086014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ácido y una base encontramos la siguiente variedad de iones::@0.403819:0.119863:0.858878:0.119863:0.858878:0.103365:0.403819:0.103365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.422810:0.160263:0.439166:0.160263:0.439166:0.143549:0.422810:0.143549:0.000000:0.000000:0.000000
Iones oxonios (H O ):@0.446544:0.160046:0.602835:0.160046:0.602835:0.143549:0.446544:0.143549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.566959:0.163323:0.571912:0.163323:0.571912:0.153705:0.566959:0.153705:0.000000
1+:@0.585629:0.153693:0.596884:0.153693:0.596884:0.144075:0.585629:0.144075:0.000000:0.000000
2. :@0.422801:0.188241:0.439157:0.188241:0.439157:0.171527:0.422801:0.171527:0.000000:0.000000:0.000000
Iones hidróxido (OH ):@0.446536:0.188024:0.610881:0.188019:0.610881:0.171521:0.446536:0.171527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1–:@0.593853:0.181667:0.604928:0.181667:0.604928:0.172049:0.593853:0.172049:0.000000:0.000000
3. :@0.422814:0.216214:0.439170:0.216214:0.439170:0.199499:0.422814:0.199499:0.000000:0.000000:0.000000
Cationes o iones metálicos (M ):@0.446549:0.215997:0.675018:0.215992:0.675018:0.199495:0.446549:0.199499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.662764:0.209639:0.669065:0.209639:0.669065:0.200021:0.662764:0.200021:0.000000
4. :@0.422816:0.243074:0.439172:0.243074:0.439172:0.226359:0.422816:0.226359:0.000000:0.000000:0.000000
Aniones  monoatómicos  o  poliatómicos,  dependiendo del :@0.446551:0.242857:0.876509:0.242857:0.876509:0.226359:0.446551:0.226359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ácido del cual proceden (A ):@0.446551:0.260208:0.650718:0.260203:0.650718:0.243705:0.446551:0.243710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.638644:0.253850:0.644765:0.253850:0.644765:0.244232:0.638644:0.244232:0.000000
Los iones oxonio e hidróxido se  combinan uno a uno (1:1) para :@0.403815:0.302466:0.895566:0.302466:0.895566:0.285969:0.403815:0.285969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891341:0.302466:0.895483:0.302466:0.895483:0.285969:0.891341:0.285969:0.000000
formar moléculas de agua, así::@0.403815:0.319817:0.615902:0.319817:0.615902:0.303319:0.403815:0.303319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H O  + OH      2H O:@0.562968:0.346987:0.735367:0.346987:0.735367:0.330489:0.562968:0.330489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.575337:0.350265:0.580290:0.350265:0.580290:0.340647:0.575337:0.340647:0.000000
1+:@0.594007:0.340635:0.605261:0.340635:0.605261:0.331017:0.594007:0.331017:0.000000:0.000000
1–:@0.650592:0.340635:0.661666:0.340635:0.661666:0.331017:0.650592:0.331017:0.000000:0.000000
2:@0.716699:0.350265:0.721652:0.350265:0.721652:0.340647:0.716699:0.340647:0.000000
M  + A      M A   (sal):@0.562772:0.405475:0.735564:0.405475:0.735564:0.388977:0.562772:0.388977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.578937:0.399122:0.585238:0.399122:0.585238:0.389504:0.578937:0.389504:0.000000
–:@0.616350:0.399122:0.622471:0.399122:0.622471:0.389504:0.616350:0.389504:0.000000
+:@0.672802:0.399122:0.679103:0.399122:0.679103:0.389504:0.672802:0.389504:0.000000
–:@0.691124:0.399122:0.697246:0.399122:0.697246:0.389504:0.691124:0.389504:0.000000
Los iones metálicos se combinan con los aniones para formar sales::@0.403817:0.375733:0.878179:0.375733:0.878179:0.359235:0.403817:0.359235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Balanceo de ecuaciones por ensayo-error:@0.404650:0.768923:0.794811:0.768923:0.794811:0.748152:0.404650:0.748152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.404650:0.792528:0.421006:0.792528:0.421006:0.775814:0.404650:0.775814:0.000000:0.000000:0.000000
Por cada hidrógeno (H) del ácido se requiere un hidróxido (OH) :@0.428385:0.792311:0.896240:0.792311:0.896240:0.775814:0.428385:0.775814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la base. Para balancear se coloca el subíndice de los hidrógenos :@0.428385:0.809662:0.896232:0.809662:0.896232:0.793165:0.428385:0.793165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del ácido como coeficiente de la base y el subíndice de los (OH ) :@0.428385:0.827013:0.896326:0.827013:0.896326:0.810515:0.428385:0.810515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.880110:0.820661:0.886231:0.820661:0.886231:0.811043:0.880110:0.811043:0.000000
de la base como coeficiente del ácido.:@0.428392:0.844364:0.697522:0.844364:0.697522:0.827866:0.428392:0.827866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.404658:0.861931:0.421014:0.861931:0.421014:0.845217:0.404658:0.845217:0.000000:0.000000:0.000000
Verificamos que el metal M  y el anión A  queden balanceados.:@0.428392:0.861714:0.878728:0.861714:0.878728:0.845217:0.428392:0.845217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.624126:0.855363:0.630427:0.855363:0.630427:0.845745:0.624126:0.845745:0.000000
–:@0.718968:0.855363:0.725090:0.855363:0.725090:0.845745:0.718968:0.845745:0.000000
3. :@0.404651:0.879282:0.421007:0.879282:0.421007:0.862568:0.404651:0.862568:0.000000:0.000000:0.000000
Se calculan las moléculas de agua formadas, multiplicando los co-:@0.428386:0.879065:0.892189:0.879065:0.892189:0.862568:0.428386:0.862568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eficientes del ácido y la base.:@0.428386:0.896416:0.630650:0.896416:0.630650:0.879918:0.428386:0.879918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.404651:0.913984:0.421007:0.913984:0.421007:0.897269:0.404651:0.897269:0.000000:0.000000:0.000000
Si se requiere, se simplifican todos los coeficientes para obtener la :@0.428386:0.913767:0.896356:0.913767:0.896356:0.897269:0.428386:0.897269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínima expresión de la ecuación balanceada.:@0.428386:0.931118:0.749379:0.931118:0.749379:0.914620:0.428386:0.914620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.404651:0.448015:0.465566:0.448015:0.465566:0.431517:0.404651:0.431517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H SO   + Ca  (OH)       CaSO    +   2H O :@0.486412:0.449504:0.888593:0.449504:0.888593:0.427985:0.486412:0.427985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.502544:0.450007:0.509005:0.450007:0.509005:0.437461:0.502544:0.437461:0.000000
   :@0.509005:0.453778:0.518454:0.453778:0.518454:0.441233:0.509005:0.441233:0.000000:0.000000:0.000000
4:@0.546697:0.450007:0.553157:0.450007:0.553157:0.437461:0.546697:0.437461:0.000000
2:@0.668999:0.450007:0.675460:0.450007:0.675460:0.437461:0.668999:0.437461:0.000000
4:@0.778651:0.450007:0.785111:0.450007:0.785111:0.437461:0.778651:0.437461:0.000000
2:@0.858838:0.450007:0.865298:0.450007:0.865298:0.437461:0.858838:0.437461:0.000000
Balancea:@0.191333:0.830130:0.253883:0.830130:0.253883:0.814657:0.191333:0.814657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de :@0.253883:0.829707:0.354690:0.829707:0.354690:0.814644:0.253883:0.814644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutralización del hidróxido de :@0.153339:0.845549:0.359000:0.845549:0.359000:0.830486:0.153339:0.830486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aluminio con el ácido nítrico::@0.153339:0.861391:0.341251:0.861391:0.341251:0.846328:0.153339:0.846328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al(OH)  + 3HNO   :@0.186109:0.884362:0.312658:0.884361:0.312658:0.869298:0.186109:0.869299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.235206:0.887354:0.239729:0.887354:0.239729:0.878572:0.235206:0.878572:0.000000
3:@0.300571:0.887354:0.305093:0.887354:0.305093:0.878572:0.300571:0.878572:0.000000
Ejercicio propuesto:@0.192521:0.801666:0.347090:0.801666:0.347090:0.783984:0.192521:0.783984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existe también un :@0.196083:0.294847:0.316678:0.294847:0.316678:0.279783:0.196083:0.279783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método algebraico de balan-:@0.153339:0.310689:0.339738:0.310689:0.339738:0.295625:0.153339:0.295625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ceo de ecuaciones químicas. :@0.153339:0.326530:0.340936:0.326530:0.340936:0.311467:0.153339:0.311467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este determina los coeficientes :@0.153339:0.342372:0.356518:0.342372:0.356518:0.327309:0.153339:0.327309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
delante de cada compuesto y :@0.153339:0.358214:0.348672:0.358214:0.348672:0.343151:0.153339:0.343151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suele emplearse, especialmente, :@0.153339:0.374056:0.361849:0.374056:0.361849:0.358993:0.153339:0.358993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando la ecuación incluye :@0.153339:0.389898:0.333178:0.389898:0.333178:0.374835:0.153339:0.374835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios compuestos. :@0.153339:0.405740:0.281146:0.405740:0.281146:0.390677:0.153339:0.390677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.195568:0.256697:0.297840:0.256697:0.297840:0.240488:0.195568:0.240488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.195568:0.269269:0.283634:0.269269:0.283634:0.253059:0.195568:0.253059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial Maya Educación, 2025.:@0.718573:0.281319:0.891353:0.281319:0.891353:0.271277:0.718573:0.271277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Balanceamos:@0.191333:0.519545:0.283417:0.519545:0.283417:0.504073:0.191333:0.504073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de neutralización del hidróxido de magnesio con el ácido fosfórico: :@0.283417:0.519123:0.800472:0.519123:0.800472:0.504060:0.283417:0.504060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mg(OH)  + H PO    Mg (PO )  + H O:@0.153339:0.534965:0.410915:0.534965:0.410915:0.519902:0.153339:0.519902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.210599:0.537958:0.215121:0.537958:0.215121:0.529176:0.210599:0.529176:0.000000
3:@0.243845:0.537958:0.248368:0.537958:0.248368:0.529176:0.243845:0.529176:0.000000
4:@0.269245:0.537958:0.273768:0.537958:0.273768:0.529176:0.269245:0.529176:0.000000
3:@0.319829:0.537958:0.324352:0.537958:0.324352:0.529176:0.319829:0.529176:0.000000
4 2:@0.350665:0.537958:0.365145:0.537958:0.365145:0.529176:0.350665:0.529176:0.000000:0.000000:0.000000
2:@0.393870:0.537958:0.398392:0.537958:0.398392:0.529176:0.393870:0.529176:0.000000
Paso 1:@0.181109:0.557849:0.222169:0.557849:0.222169:0.543315:0.181109:0.543315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3:@0.589494:0.557849:0.630554:0.557849:0.630554:0.543315:0.589494:0.543315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.192521:0.491082:0.329257:0.491082:0.329257:0.473399:0.192521:0.473399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los coeficientes 3, 2, 1, 6 no se pueden simplificar; :@0.569447:0.573989:0.879428:0.573989:0.879428:0.559644:0.569447:0.559644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación queda balanceada.:@0.569447:0.586562:0.757455:0.586562:0.757455:0.572217:0.569447:0.572217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3Mg(OH)  + 2H PO  :@0.569447:0.609822:0.702514:0.609827:0.702514:0.595482:0.569447:0.595477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.631362:0.612677:0.635669:0.612677:0.635669:0.604314:0.631362:0.604314:0.000000
3:@0.670413:0.612677:0.674720:0.612677:0.674720:0.604314:0.670413:0.604314:0.000000
4:@0.694605:0.612677:0.698913:0.612677:0.698913:0.604314:0.694605:0.604314:0.000000
 Mg (PO )  + 6H O:@0.720114:0.609827:0.839212:0.609827:0.839212:0.595482:0.720114:0.595482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.745074:0.612677:0.749381:0.612677:0.749381:0.604314:0.745074:0.604314:0.000000
4 2:@0.774442:0.612677:0.788233:0.612677:0.788233:0.604314:0.774442:0.604314:0.000000:0.000000:0.000000
2:@0.822977:0.612677:0.827284:0.612677:0.827284:0.604314:0.822977:0.604314:0.000000
Paso 4:@0.589494:0.649976:0.630554:0.649976:0.630554:0.635441:0.589494:0.635441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los coeficientes 3, 2, 1, 6 no se pueden simplificar; :@0.569447:0.667959:0.879428:0.667959:0.879428:0.653613:0.569447:0.653613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación queda balanceada.:@0.569447:0.680532:0.757455:0.680532:0.757455:0.666186:0.569447:0.666186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3Mg(OH)  + H PO   Mg (PO )  + 6H O:@0.569447:0.703792:0.825221:0.703797:0.825221:0.689451:0.569447:0.689446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.631362:0.706647:0.635669:0.706647:0.635669:0.698283:0.631362:0.698283:0.000000
3:@0.663026:0.706647:0.667333:0.706647:0.667333:0.698283:0.663026:0.698283:0.000000
3:@0.731084:0.706647:0.735391:0.706647:0.735391:0.698283:0.731084:0.698283:0.000000
4 2:@0.760452:0.706647:0.774243:0.706647:0.774243:0.698283:0.760452:0.698283:0.000000:0.000000:0.000000
2:@0.808987:0.706647:0.813295:0.706647:0.813295:0.698283:0.808987:0.698283:0.000000
                          Reactivos           :@0.161134:0.567362:0.295357:0.567362:0.295357:0.557320:0.161134:0.557320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
            Productos:@0.309434:0.567362:0.384331:0.567362:0.384331:0.557320:0.309434:0.557320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.161134:0.583412:0.168522:0.583412:0.168522:0.569066:0.161134:0.569066:0.000000
Mg(OH)  +  H PO  :@0.168522:0.583412:0.294568:0.583412:0.294568:0.569066:0.168522:0.569066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.223049:0.586261:0.227356:0.586261:0.227356:0.577898:0.223049:0.577898:0.000000
2:@0.243958:0.583600:0.251714:0.583600:0.251714:0.569066:0.243958:0.569066:0.000000
3:@0.262469:0.586261:0.266776:0.586261:0.266776:0.577898:0.262469:0.577898:0.000000
4:@0.286659:0.586261:0.290967:0.586261:0.290967:0.577898:0.286659:0.577898:0.000000
 Mg (PO )  + H O:@0.312170:0.583412:0.423880:0.583412:0.423880:0.569066:0.312170:0.569066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.337129:0.586261:0.341436:0.586261:0.341436:0.577898:0.337129:0.577898:0.000000
4 2:@0.366498:0.586261:0.380289:0.586261:0.380289:0.577898:0.366498:0.577898:0.000000:0.000000:0.000000
2:@0.407645:0.586261:0.411952:0.586261:0.411952:0.577898:0.407645:0.577898:0.000000
Magnesio (Mg): :@0.161135:0.599945:0.269136:0.599945:0.269136:0.585209:0.161135:0.585209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.269136:0.599543:0.276524:0.599543:0.276524:0.585197:0.269136:0.585197:0.000000
 átomos en reactivos y productos.:@0.276524:0.599543:0.485206:0.599543:0.485206:0.585197:0.276524:0.585197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fósforo (P): :@0.161135:0.616076:0.241679:0.616076:0.241679:0.601341:0.161135:0.601341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.241679:0.615862:0.249436:0.615862:0.249436:0.601328:0.241679:0.601328:0.000000
 átomos en reactivos y productos.:@0.249436:0.615674:0.458117:0.615674:0.458117:0.601328:0.249436:0.601328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2:@0.181109:0.649976:0.222169:0.649976:0.222169:0.635441:0.181109:0.635441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                          Reactivos           :@0.161134:0.661274:0.295357:0.661274:0.295357:0.651232:0.161134:0.651232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
            Productos:@0.309434:0.661274:0.384331:0.661274:0.384331:0.651232:0.309434:0.651232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.161134:0.677323:0.168522:0.677323:0.168522:0.662977:0.161134:0.662977:0.000000
Mg(OH)  +  H PO  :@0.168522:0.677323:0.294568:0.677323:0.294568:0.662977:0.168522:0.662977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.223049:0.680173:0.227356:0.680173:0.227356:0.671809:0.223049:0.671809:0.000000
2:@0.243958:0.677512:0.251714:0.677512:0.251714:0.662977:0.243958:0.662977:0.000000
3:@0.262469:0.680173:0.266776:0.680173:0.266776:0.671809:0.262469:0.671809:0.000000
4:@0.286659:0.680173:0.290967:0.680173:0.290967:0.671809:0.286659:0.671809:0.000000
 (PO ):@0.312170:0.677323:0.350315:0.677323:0.350315:0.662977:0.312170:0.662977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 2:@0.340832:0.680173:0.354622:0.680173:0.354622:0.671809:0.340832:0.671809:0.000000:0.000000:0.000000
Oxígeno (O)::@0.161134:0.693862:0.247625:0.693862:0.247625:0.679126:0.161134:0.679126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  :@0.161134:0.709993:0.174000:0.709993:0.174000:0.695257:0.161134:0.695257:0.000000:0.000000:0.000000
Reactivos::@0.174000:0.709779:0.238042:0.709779:0.238042:0.695245:0.174000:0.695245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 3 × 2 + 2 × 4 = 14:@0.238044:0.709591:0.352379:0.709591:0.352379:0.695245:0.238044:0.695245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  :@0.161134:0.726124:0.174000:0.726124:0.174000:0.711388:0.161134:0.711388:0.000000:0.000000:0.000000
Productos::@0.174000:0.725910:0.243303:0.725910:0.243303:0.711376:0.174000:0.711376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 8 + 6 = 14:@0.243303:0.725722:0.309659:0.725722:0.309659:0.711376:0.243303:0.711376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hidrógeno (H)::@0.370991:0.694151:0.471755:0.694151:0.471755:0.679415:0.370991:0.679415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  :@0.370991:0.710282:0.383857:0.710282:0.383857:0.695546:0.370991:0.695546:0.000000:0.000000:0.000000
Reactivos::@0.383857:0.710068:0.447900:0.710068:0.447900:0.695534:0.383857:0.695534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 6 + 6 = 12:@0.447901:0.709880:0.514258:0.709880:0.514258:0.695534:0.447901:0.695534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  :@0.370991:0.726413:0.383857:0.726413:0.383857:0.711678:0.370991:0.711678:0.000000:0.000000:0.000000
Productos::@0.383857:0.726199:0.453160:0.726199:0.453160:0.711665:0.383857:0.711665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 6 × 2 = 12:@0.453160:0.726011:0.519516:0.726011:0.519516:0.711665:0.453160:0.711665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al(NO )  +3H O:@0.221024:0.901868:0.293156:0.901868:0.293156:0.891826:0.221024:0.891826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 3:@0.250340:0.903863:0.259993:0.903863:0.259993:0.898009:0.250340:0.898009:0.000000:0.000000:0.000000
2:@0.281793:0.903863:0.284808:0.903863:0.284808:0.898009:0.281793:0.898009:0.000000