Solution: Sage Of The Arctic

CLUES IN PUZZLE:

Celebration of learning = 3.091 quiz
HTML names of each puzzle page indicate that you have to solve them all, and they're all integer values
It's elementary = convert integer answers to chemical elements

SOLUTION:

Solve chemistry problems
Use numbers as answers to get chemistry symbols (11 is Na, e.g.)
Answer word!!

DETAILED SOLUTIONS:

ACID EATERS: He

  Acid dissociation equilibrium problem.  Ka=1.76E-5,  concentration = 5.69 M, Ka=[H+][Ac]/[HAc].
  Species  [ ]o  change[ ]  equilibrium [ ]
  HAc      5.69  -x         5.69-x
  H+       0     +x         +x
  Ac-      0     +x         +x
  x ends up being 0.01, so the pH of the solution is 2, or Helium.

PUMP UP THE VOLUME: Ra

  PV=nRT.  nR*(T1/P1 - T2/P2)=13.80 mol*0.08206Latm/molK*(273K/1atm-293K/1.5atm)=deltaV= 88L

IRON MAIDEN: S

  The reaction being cued is thermite, 2Al(s)+Fe2O3(s) -> Al2O3(s)+2Fe(s)
  3835.2 grams Fe2O3 = 24 moles, 446.4 g Al = 16 moles.  16 moles of
  Aluminum will be used, so 8 moles of Fe2O3 will be used,
  and 16 moles will be left over.

MEN AT WORK: He

  Thermo, cycles, ideal gas.  Keep in mind it's adiabatic.  w=-2.03 MJ
  on gas or 2 by gas, so 2, or He.

SERENADE: I

  This can be solved from the combustion functions and deltaH's, which can be looked up:
  Cgraphite(s)+O2(g) -> CO2(g)  deltaH=-393.5kJ
  Cdiamond(s)+O2(g) -> CO2(g)   deltaH=-395.4kJ
  Hess' Law:
  Cgraphite(s)+O2(g) -> COs(g)            deltaH=-393.5kJ
  CO2(g)             -> Cdiamond(s)+O2(g) deltaH=-(-395.4)kJ
  Cgraphite(s)       -> Cdiamond(s)       deltaH=1.9kJ PER MOLE
  The problem is for 335 grams, or 27.85 moles.  Energy required is 53 kilojoules.

NEW RADICALS: F

  The compound is triphenylmethyl and there are ten resonance
  structures, e.g. 9 more than the one shown.

VAPOR TRAILS: Er

  This is a Clausius-Clayperon problem: ln(P2/P1)=deltaHvap/R*(1/T2-1/T1)
  ln(23.8/x)=(43900 J/mol)/(8.3145 J/Kmol)(1/316.77-1/298) Pressure = 68 torr.

AS AN ASIDE:

The names of the puzzles are not part of the solution, but are thematic to the chemistry problem. They are:

Acid Eaters (Ramones album)
Pump up the Volume (Soundtrack and song)
Iron Maiden (band)
Men at Work (band known for "Land Down Under")
Serenade (Neil Diamond album)
New Radicals (band)
Vapor Trails (Rush album)

ANSWER WORD: The answer from the different chemistry problems is He Ra S He I F Er, Hera's Heifer, which cues Io. Io was Zeus's (Jupiter's) lover, and Hera became jealous. Zeus turned Hera into a cow and gave Io to Hera as a gift.