1. For the metamorphic reaction [grossular + quartz == anorthite + wollastonite, calculate the Gibbs free energy of reaction and the equilibrium constant at 298.15 K and at 1,000 K (1 bar total pressure). Does increasing temperature favor the formation of the assemblage grossular + quartz, or anorthite + wollastonite?
2. For the reaction converting perovskite and quartz to titanite, determine if the energetically-favored direction of the reaction at 500 K is forward (to titanite) or reverse, if the reaction is exothermic or endothermic, and what molar volume change (∂Vr) occurs during this reaction (at 500 K).
3. Calculate the de Broglie wavelength of an Ar atom moving at 500 m/s (roughly the velocity of air molecules at 25º C). How does this wavelength compare with the radius of an Ar atom?
4. For magnetite oxidation to hematite with O2, under standard conditions what partial pressure of oxygen gas in air would be buffered by this reaction, assuming no other sources of free molecular oxygen?
5. In a solution containing 0.02 mol/L Na+, 0.02 mol/L Cl-, 0.01 mol/L Ca2+, 0.02 mol/L Br-, and 0.005 mol/L Cu2+, determine the ionic strength of the solution and the activity (not concentration) of dissolved Cu2+.
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