#import "template.typ": *

// Take a look at the file `template.typ` in the file panel
// to customize this template and discover how it works.
#show: project.with(
  title: "Physique Ex 18 12 2023",
  authors: (
    "<NAME>",
  ),
  date: "17 Décembre, 2023",
)

#set heading(numbering: "1.1.")

=== Exercice 4 p164
<exercice-4-p164>
+ $ K_e eq lr([H_3 O^plus])_(upright("éq")) times lr([H O^minus])_(upright("éq")) $

+ $ lr([H_3 O^plus])_(upright("éq")) eq K_e / lr([H O^minus])_(upright("éq")) eq frac(10 times 10^(minus 14), 3 comma 2 times 10^(minus 6)) eq 3 comma 125 times 10^(minus 9) approx 3 comma 1 times 10^(minus 9) upright("mol") upright("L") ""^(minus 1) $

+ $ p H eq minus l o g lr([H_3 O^plus])_(upright("éq")) / c^0 eq minus l o g lr((3 comma 1 times 10^(minus 9))) eq 8 comma 5 $

=== Exercice 8 p164
<exercice-8-p164>
+ $ C H_3 N H_2 lr((a q)) plus H_2 O lr((l)) harpoons.rtlb C H_3 N H_3^plus lr((a q)) plus H O^minus lr((a q)) $

+ $ tau eq x_f / x_(m a x) eq frac(lr([C H_3 N H_3^plus])_f times V, C times V) eq lr([C H_3 N H_3^plus])_f / C $

$ lr([C H_3 N H_3^plus])_f eq tau times C $
$ lr([C H_3 N H_3^plus])_f eq 0 comma 22 times 1 comma 0 times 10^(minus 2) $
$ lr([C H_3 N H_3^plus])_f eq 2 comma 2 times 10^(minus 3) upright("mol") upright("L") ""^(minus 1) $

De plus $ lr([C H_3 N H_2])_f eq C minus lr([C H_3 N H_3^plus])_f $
$ lr([C H_3 N H_2])_f eq 1 comma 0 times 10^(minus 2) minus 2 comma 2 times 10^(minus 3) $
$ lr([C H_3 N H_2])_f eq 7 comma 8 times 10^(minus 3) upright("mol") upright("L") ""^(minus 1) $
