Expression 12: "b" left parenthesis, "t" , right parenthesis equals StartFraction, "b" Subscript, 0 , Baseline plus "b" Subscript, "d" , Baseline times "t" Over 1 plus "t" , EndFractionbt=b0+bd·t1+t
12
Expression 13:
13
Calculate the H+ and OH- concentration after the neutralization reaction
14
Assume d moles of each type of ions are reacted, (a-d)(b-d)=10⁻¹⁴, solve for d
15
From the equation for the pH from H⁺ and OH⁻ concentrations, one can see a*b=10⁻¹⁴
16
Expression 17: "d" left parenthesis, "t" , right parenthesis equals 1 half left parenthesis, left parenthesis, "a" left parenthesis, "t" , right parenthesis plus "b" left parenthesis, "t" , right parenthesis , right parenthesis minus StartRoot, left parenthesis, "a" left parenthesis, "t" , right parenthesis plus "b" left parenthesis, "t" , right parenthesis , right parenthesis squared minus 4 times left parenthesis, "a" left parenthesis, "t" , right parenthesis "b" left parenthesis, "t" , right parenthesis minus 10 to the negative 14th power , right parenthesis , EndRoot , right parenthesisdt=12at+bt−at+bt2−4·atbt−10−14
17
Expression 18:
18
titration curve
19
Expression 20: negative log left parenthesis, "a" left parenthesis, "x" , right parenthesis minus "d" left parenthesis, "x" , right parenthesis , right parenthesis left brace, "x" greater than 0 , right brace−logax−dxx>0
20
Expression 21: 14 plus log left parenthesis, "b" left parenthesis, "x" , right parenthesis minus "d" left parenthesis, "x" , right parenthesis , right parenthesis left brace, "x" greater than 0 , right brace14+logbx−dxx>0
21
Hidden Label: left parenthesis, negative StartFraction, "b" Subscript, 0 , Baseline minus "a" Subscript, 0 , Baseline Over "b" Subscript, "d" , Baseline minus "a" Subscript, "d" , Baseline , EndFraction , 7 , right parenthesis−b0−a0bd−ad,7
Label
equals=
left parenthesis, 12.5 8 9 2 5 4 6 , 7 , right parenthesis12.5892546,7
22
Hidden Label: left parenthesis, 0 , "p" Subscript, "s" , Baseline , right parenthesis0,ps
Label
equals=
left parenthesis, 0 , 2.2 , right parenthesis0,2.2
23
Expression 24: "y" equals "p" Subscript, "t" , Baseline left brace, "x" greater than 0 , right bracey=ptx>0