﻿18:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Química:@0.120102:0.956142:0.176792:0.956142:0.176792:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.068512:0.114363:0.068512:0.114363:0.048260:0.070720:0.048260:0.000000:0.000000:0.000000
. Representación:@0.114363:0.067883:0.246653:0.067883:0.246653:0.050982:0.114363:0.050982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relación entre la presión y la temperatura: :@0.287495:0.105436:0.764280:0.105436:0.764280:0.082069:0.287495:0.082069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ley de Gay-Lussac:@0.287495:0.128067:0.484051:0.128067:0.484051:0.104700:0.287495:0.104700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El químico francés Joseph Gay-Lussac (1778-1850) realizó investigaciones sobre  :@0.287495:0.150283:0.907678:0.150283:0.907678:0.133894:0.287495:0.133894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la rela-ción que existe entre la presión y la temperatura de un gas. Él observó que :@0.287495:0.166630:0.907561:0.166630:0.907561:0.150241:0.287495:0.150241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando aumentaba la temperatura de un gas, la presión de este también aumenta-:@0.287495:0.182978:0.903732:0.182978:0.903732:0.166589:0.287495:0.166589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ba, y si se disminuía la temperatura, la presión también lo hacía.:@0.287495:0.199325:0.751737:0.199325:0.751737:0.182936:0.287495:0.182936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.287495:0.222795:0.308153:0.222795:0.308153:0.206406:0.287495:0.206406:0.000000:0.000000:0.000000
Ley de Gay-Lussac:@0.308153:0.222795:0.452384:0.222795:0.452384:0.205894:0.308153:0.205894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se enuncia de la siguiente manera::@0.452384:0.222795:0.709556:0.222795:0.709556:0.206406:0.452384:0.206406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“Cuando el volumen de una masa gaseosa permanece constante, la presión del gas :@0.287495:0.246265:0.907676:0.246265:0.907676:0.229876:0.287495:0.229876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es directamente proporcional a la temperatura”.:@0.287495:0.262612:0.634906:0.262612:0.634906:0.246224:0.287495:0.246224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Relación: directamente :@0.355803:0.297486:0.531132:0.297486:0.531132:0.281908:0.355803:0.281908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcional:@0.393295:0.312574:0.490258:0.312574:0.490258:0.296996:0.393295:0.296996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación matemática incluye una :@0.615532:0.297486:0.887035:0.297486:0.887035:0.281908:0.615532:0.281908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante ( ) de proporcionalidad:@0.624344:0.312574:0.874841:0.312574:0.874841:0.296996:0.624344:0.296996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.706733:0.312574:0.713618:0.312574:0.713618:0.297700:0.706733:0.297700:0.000000
P   T:@0.425584:0.338277:0.457967:0.338277:0.457967:0.322659:0.425584:0.322659:0.000000:0.000000:0.000000:0.000000:0.000000
P = kT:@0.729698:0.338277:0.769486:0.338277:0.769486:0.322659:0.729698:0.322659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El gráfico muestra que el volumen :@0.287613:0.400673:0.551533:0.400673:0.551533:0.384284:0.287613:0.384284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del gas se mantiene constante. Por :@0.287613:0.417020:0.551552:0.417020:0.551552:0.400631:0.287613:0.400631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otra parte, la presión se incremen-:@0.287613:0.433368:0.547479:0.433368:0.547479:0.416979:0.287613:0.416979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ta a medida que se incrementa la :@0.287613:0.449715:0.551498:0.449715:0.551498:0.433326:0.287613:0.433326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura.:@0.287613:0.466063:0.382626:0.466063:0.382626:0.449674:0.287613:0.449674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al despejar   en los dos momentos::@0.287613:0.513003:0.547144:0.513003:0.547144:0.496614:0.287613:0.496614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.373062:0.513003:0.380635:0.513003:0.380635:0.496641:0.373062:0.496641:0.000000
Una ecuación química :@0.095612:0.515120:0.248427:0.515120:0.248427:0.500221:0.095612:0.500221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244758:0.515120:0.248427:0.515120:0.248427:0.500221:0.244758:0.500221:0.000000
es la forma simbólica de :@0.084119:0.528950:0.248425:0.528950:0.248425:0.514051:0.084119:0.514051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representar una reacción :@0.079027:0.542781:0.248425:0.542781:0.248425:0.527882:0.079027:0.527882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
química, como si de una :@0.081908:0.556611:0.248427:0.556611:0.248427:0.541712:0.081908:0.541712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación matemática  :@0.100520:0.570441:0.248427:0.570441:0.248427:0.555542:0.100520:0.555542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se tratase. :@0.179089:0.584272:0.248425:0.584272:0.248425:0.569373:0.179089:0.569373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sin embargo, hay una :@0.100034:0.601660:0.248425:0.601660:0.248425:0.586761:0.100034:0.586761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia entre una :@0.111459:0.615490:0.248425:0.615490:0.248425:0.600591:0.111459:0.600591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación química y una :@0.086163:0.629321:0.248427:0.629321:0.248427:0.614422:0.086163:0.614422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática, ¿cuál es?:@0.100235:0.643151:0.244758:0.643151:0.244758:0.628252:0.100235:0.628252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.482679:0.223340:0.482679:0.223340:0.465778:0.115799:0.465778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las variaciones térmicas :@0.084673:0.145764:0.248426:0.145764:0.248426:0.130865:0.084673:0.130865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en los gases afectan la :@0.096484:0.159594:0.248425:0.159594:0.248425:0.144695:0.096484:0.144695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión e influyen en los :@0.082697:0.173425:0.248426:0.173425:0.248426:0.158526:0.082697:0.158526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos de mantenimiento, :@0.070400:0.187255:0.248426:0.187255:0.248426:0.172356:0.070400:0.172356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguridad y eficiencia de :@0.079698:0.201085:0.248426:0.201085:0.248426:0.186186:0.079698:0.186186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los procesos industriales. :@0.080050:0.214915:0.248425:0.214915:0.248425:0.200016:0.080050:0.200016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La industria química y :@0.099415:0.228746:0.248426:0.228746:0.248426:0.213847:0.099415:0.213847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
energética, al manejar :@0.097774:0.242576:0.248428:0.242576:0.248428:0.227677:0.097774:0.227677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gases, debe considerar :@0.092899:0.256406:0.248426:0.256406:0.248426:0.241507:0.092899:0.241507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas fluctuaciones para :@0.085209:0.270237:0.248426:0.270237:0.248426:0.255338:0.085209:0.255338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
optimizar las inversiones y :@0.070769:0.284067:0.248426:0.284067:0.248426:0.269168:0.070769:0.269168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minimizar los riesgos :@0.105279:0.297897:0.248426:0.297897:0.248426:0.282998:0.105279:0.282998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financieros .:@0.165705:0.311728:0.244759:0.311728:0.244759:0.296829:0.165705:0.296829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación  :@0.142411:0.106124:0.227718:0.106124:0.227718:0.089223:0.142411:0.089223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.145592:0.119954:0.220641:0.119954:0.220641:0.103053:0.145592:0.103053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dentro de una olla de :@0.086499:0.736702:0.248428:0.736702:0.248428:0.721803:0.086499:0.721803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión, el aire del interior :@0.072846:0.750532:0.248424:0.750532:0.248424:0.735633:0.072846:0.735633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posee una presión  :@0.121512:0.764362:0.248428:0.764362:0.248428:0.749463:0.121512:0.749463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 0,92 atm a temperatura :@0.067837:0.778193:0.248426:0.778193:0.248426:0.763294:0.067837:0.763294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ambiente de 18 °C, ¿qué :@0.082244:0.792023:0.248426:0.792023:0.248426:0.777124:0.082244:0.777124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión ejercerá el aire al :@0.080753:0.805853:0.248426:0.805853:0.248426:0.790954:0.080753:0.790954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interior de la olla si la :@0.105396:0.819684:0.248428:0.819684:0.248428:0.804785:0.105396:0.804785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura se eleva  :@0.104541:0.833514:0.248428:0.833514:0.248428:0.818615:0.104541:0.818615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a 90 °C?:@0.192609:0.847344:0.244759:0.847344:0.244759:0.832445:0.192609:0.832445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio propuesto:@0.095923:0.707542:0.241540:0.707542:0.241540:0.690642:0.095923:0.690642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P  = kT:@0.410456:0.568169:0.452862:0.568169:0.452862:0.553295:0.410456:0.553295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.418430:0.571044:0.422943:0.571044:0.422943:0.562373:0.418430:0.562373:0.000000
1:@0.452862:0.571044:0.457374:0.571044:0.457374:0.562373:0.452862:0.562373:0.000000
 k  = :@0.482681:0.568169:0.513110:0.568169:0.513110:0.553295:0.482681:0.553295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.492582:0.571044:0.497094:0.571044:0.497094:0.562373:0.492582:0.562373:0.000000
P:@0.526839:0.561579:0.534813:0.561579:0.534813:0.546705:0.526839:0.546705:0.000000
1:@0.534813:0.561940:0.539325:0.561940:0.539325:0.553269:0.534813:0.553269:0.000000
T:@0.527132:0.578972:0.534520:0.578972:0.534520:0.564098:0.527132:0.564098:0.000000
1:@0.534520:0.581848:0.539032:0.581848:0.539032:0.573177:0.534520:0.573177:0.000000
P  = kT:@0.676819:0.568169:0.719225:0.568169:0.719225:0.553295:0.676819:0.553295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.684794:0.571044:0.689306:0.571044:0.689306:0.562373:0.684794:0.562373:0.000000
2:@0.719225:0.571044:0.723737:0.571044:0.723737:0.562373:0.719225:0.562373:0.000000
 k  = :@0.749044:0.568169:0.779473:0.568169:0.779473:0.553295:0.749044:0.553295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.758945:0.571044:0.763457:0.571044:0.763457:0.562373:0.758945:0.562373:0.000000
P:@0.788176:0.561579:0.796150:0.561579:0.796150:0.546705:0.788176:0.546705:0.000000
2:@0.796150:0.561940:0.800662:0.561940:0.800662:0.553269:0.796150:0.553269:0.000000
T:@0.788469:0.578972:0.795857:0.578972:0.795857:0.564098:0.788469:0.564098:0.000000
2:@0.795857:0.581848:0.800369:0.581848:0.800369:0.573177:0.795857:0.573177:0.000000
= :@0.601196:0.654092:0.615532:0.654092:0.615532:0.638448:0.601196:0.638448:0.000000:0.000000
P:@0.623944:0.645617:0.631918:0.645617:0.631918:0.630743:0.623944:0.630743:0.000000
2:@0.631918:0.645978:0.636430:0.645978:0.636430:0.637307:0.631918:0.637307:0.000000
T:@0.624237:0.663010:0.631625:0.663010:0.631625:0.648136:0.624237:0.648136:0.000000
2:@0.631625:0.665886:0.636137:0.665886:0.636137:0.657215:0.631625:0.657215:0.000000
P:@0.577037:0.645617:0.585011:0.645617:0.585011:0.630743:0.577037:0.630743:0.000000
1:@0.585011:0.645978:0.589524:0.645978:0.589524:0.637307:0.585011:0.637307:0.000000
T:@0.577330:0.663010:0.584718:0.663010:0.584718:0.648136:0.577330:0.648136:0.000000
1:@0.584718:0.665886:0.589230:0.665886:0.589230:0.657215:0.584718:0.657215:0.000000
 K  = K:@0.593694:0.599904:0.632853:0.599904:0.632853:0.585030:0.593694:0.585030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.604566:0.602780:0.609079:0.602780:0.609079:0.594108:0.604566:0.594108:0.000000
2 :@0.632853:0.602780:0.639123:0.602780:0.639123:0.594108:0.632853:0.594108:0.000000:0.000000
Datos:@0.305219:0.777815:0.345660:0.777815:0.345660:0.762703:0.305219:0.762703:0.000000:0.000000:0.000000:0.000000:0.000000
Resolución:@0.405985:0.777815:0.482393:0.777815:0.482393:0.762703:0.405985:0.762703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P :  1,3 atm:@0.305219:0.800070:0.378402:0.800076:0.378402:0.785177:0.305219:0.785171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.313629:0.802952:0.318395:0.802952:0.318395:0.794266:0.313629:0.794266:0.000000
P :  ¿?:@0.305228:0.816207:0.341731:0.816212:0.341731:0.801313:0.305228:0.801308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.313629:0.819088:0.318395:0.819088:0.318395:0.810402:0.313629:0.810402:0.000000
T :  30 °C:@0.305228:0.832343:0.363459:0.832350:0.363459:0.817451:0.305228:0.817444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.313009:0.835226:0.317775:0.835226:0.317775:0.826539:0.313009:0.826539:0.000000
T :  45 °C:@0.305228:0.848481:0.363459:0.848487:0.363459:0.833588:0.305228:0.833582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.313009:0.851363:0.317775:0.851363:0.317775:0.842677:0.313009:0.842677:0.000000
a):@0.405994:0.800081:0.419546:0.800081:0.419546:0.784717:0.405994:0.784717:0.000000:0.000000
 Calculamos la temperatura absoluta para T  y T ::@0.419546:0.800081:0.742955:0.800076:0.742955:0.785177:0.419546:0.785182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.708713:0.802952:0.713479:0.802952:0.713479:0.794266:0.708713:0.794266:0.000000
2:@0.735274:0.802952:0.740040:0.802952:0.740040:0.794266:0.735274:0.794266:0.000000
  T : K= 30 + 273 = 303 K :@0.405980:0.816207:0.581843:0.816212:0.581843:0.801313:0.405980:0.801308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.432772:0.819088:0.437538:0.819088:0.437538:0.810402:0.432772:0.810402:0.000000
  T : K= 45 + 273 = 318 K:@0.405994:0.832343:0.578175:0.832350:0.578175:0.817451:0.405994:0.817444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.432772:0.835226:0.437538:0.835226:0.437538:0.826539:0.432772:0.826539:0.000000
b):@0.405994:0.852052:0.420736:0.852052:0.420736:0.836687:0.405994:0.836687:0.000000:0.000000
 Aplicamos la ecuación de la Ley de Charles::@0.420736:0.852052:0.713313:0.852052:0.713313:0.837152:0.420736:0.837152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1,36 atm:@0.706230:0.887279:0.781058:0.887279:0.781058:0.871635:0.706230:0.871635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P  =:@0.548922:0.887279:0.577097:0.887279:0.577097:0.871635:0.548922:0.871635:0.000000:0.000000:0.000000:0.000000
2:@0.557757:0.890298:0.562761:0.890298:0.562761:0.881177:0.557757:0.881177:0.000000
1,3 atm × 318 K:@0.587665:0.879287:0.696125:0.879287:0.696125:0.863643:0.587665:0.863643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
303 K:@0.622704:0.896687:0.661068:0.896687:0.661068:0.881043:0.622704:0.881043:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.449689:0.886337:0.464025:0.886337:0.464025:0.870693:0.449689:0.870693:0.000000:0.000000
P:@0.470611:0.878334:0.478984:0.878334:0.478984:0.862717:0.470611:0.862717:0.000000
2:@0.478984:0.878839:0.483721:0.878839:0.483721:0.869734:0.478984:0.869734:0.000000
T:@0.470919:0.895728:0.478676:0.895728:0.478676:0.880110:0.470919:0.880110:0.000000
2:@0.478675:0.898748:0.483413:0.898748:0.483413:0.889643:0.478675:0.889643:0.000000
P:@0.427274:0.878334:0.435647:0.878334:0.435647:0.862717:0.427274:0.862717:0.000000
1:@0.435647:0.878839:0.440385:0.878839:0.440385:0.869734:0.435647:0.869734:0.000000
T:@0.427582:0.895728:0.435340:0.895728:0.435340:0.880110:0.427582:0.880110:0.000000
1:@0.435340:0.898748:0.440078:0.898748:0.440078:0.889643:0.435340:0.889643:0.000000
Si igualamos, obtenemos la ecuación de la Ley de Charles.:@0.287613:0.626142:0.673531:0.626142:0.673531:0.611243:0.287613:0.611243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.310429:0.706748:0.439223:0.706748:0.439223:0.689847:0.310429:0.689847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A 30 °C, un volumen constante de gas experimenta una presión de 1,3 atm. Si la temperatura :@0.301028:0.734830:0.907331:0.734830:0.907331:0.719931:0.301028:0.719931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumenta a 45 °C, ¿cuál será la presión del gas?:@0.301028:0.748660:0.607392:0.748660:0.607392:0.733761:0.301028:0.733761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.070380:0.420712:0.070380:0.377886:0.058469:0.377886:0.058469:0.420712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Temperatura constante:@0.630819:0.529643:0.715381:0.529643:0.715381:0.519677:0.630819:0.519677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Incremento de temperatura:@0.756791:0.529643:0.857800:0.529643:0.857800:0.519677:0.756791:0.519677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Presión :@0.608714:0.448469:0.639205:0.448469:0.639205:0.437925:0.608714:0.437925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
normal:@0.609101:0.455510:0.636964:0.455510:0.636964:0.444966:0.609101:0.444966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Incremento :@0.731985:0.443655:0.778365:0.443655:0.778365:0.433111:0.731985:0.433111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la :@0.744908:0.450696:0.765430:0.450696:0.765430:0.440152:0.744908:0.440152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión:@0.739936:0.457737:0.768549:0.457737:0.768549:0.447193:0.739936:0.447193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Volumen :@0.689898:0.437714:0.726216:0.437714:0.726216:0.427171:0.689898:0.427171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante:@0.688092:0.444755:0.726157:0.444755:0.726157:0.434211:0.688092:0.434211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Volumen :@0.825728:0.437714:0.862046:0.437714:0.862046:0.427171:0.825728:0.427171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante:@0.823922:0.444755:0.861987:0.444755:0.861987:0.434211:0.823922:0.434211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antes:@0.628980:0.401269:0.653171:0.401269:0.653171:0.389232:0.628980:0.389232:0.000000:0.000000:0.000000:0.000000:0.000000
después:@0.767500:0.401269:0.803406:0.401269:0.803406:0.389232:0.767500:0.389232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ley de Gay-Lussac:@0.670710:0.388396:0.802387:0.388396:0.802387:0.368113:0.670710:0.368113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.931024:0.530352:0.931024:0.487527:0.919113:0.487527:0.919113:0.530352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,92 :@0.099289:0.874299:0.123104:0.874299:0.123104:0.862380:0.099289:0.862380:0.000000:0.000000:0.000000:0.000000:0.000000
atm :@0.122836:0.874299:0.145740:0.874299:0.145740:0.862400:0.122836:0.862400:0.000000:0.000000:0.000000:0.000000
x 363 :@0.145472:0.874299:0.175371:0.874299:0.175371:0.862380:0.145472:0.862380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
K:@0.175103:0.874299:0.181389:0.874299:0.181389:0.862400:0.175103:0.862400:0.000000
291 :@0.126454:0.885615:0.148206:0.885615:0.148206:0.873696:0.126454:0.873696:0.000000:0.000000:0.000000:0.000000
K:@0.147938:0.885615:0.154223:0.885615:0.154223:0.873716:0.147938:0.873716:0.000000
P =:@0.064095:0.880988:0.082900:0.880991:0.082900:0.869092:0.064095:0.869089:0.000000:0.000000:0.000000
2 :@0.070209:0.883292:0.075069:0.883292:0.075069:0.876355:0.070209:0.876355:0.000000:0.000000
P =:@0.193667:0.880991:0.212465:0.880991:0.212465:0.869092:0.193667:0.869092:0.000000:0.000000:0.000000
2 :@0.199773:0.883292:0.204633:0.883292:0.204633:0.876355:0.199773:0.876355:0.000000:0.000000
 1,15:@0.212197:0.880991:0.236012:0.880991:0.236012:0.869072:0.212197:0.869072:0.000000:0.000000:0.000000:0.000000:0.000000
 atm:@0.235744:0.880991:0.258648:0.880991:0.258648:0.869092:0.235744:0.869092:0.000000:0.000000:0.000000:0.000000