redox equilibria
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Professor Sylvia Ceyer concludes her discussion of acid/base titrations and moves onto the guidelines for assigning oxidation number. After defining the terms oxidation, reduction, oxidizing agent, and reducing agent, Professor Ceyer explains how to balance a redox reaction.
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We first discuss Zermelo's theorem: that games like tic-tac-toe or chess have a solution. That is, either there is a way for player 1 to force a win, or there is a way for player 1 to force a tie, or there is a way for player 2 to force a win. The proof is by induction. Then we formally define and informally discuss both perfect information and strategies in such games. This allows us to find Nash equilibria in sequential games. But we fin...more
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Redox reactions to drive Galvanic Cells.
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Stoichiometry of chemical reactions, quantum mechanical description of atoms, the elements and periodic table, chemical bonding, real and ideal gases, thermochemistry, introduction to thermodynamics and equilibrium, acid-base and solubility equilibria, introduction to oxidation-reduction reactions.
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We consider games that have both simultaneous and sequential components, combining ideas from before and after the midterm. We represent what a player does not know within a game using an information set: a collection of nodes among which the player cannot distinguish. This lets us define games of imperfect information; and also lets us formally define subgames. We then extend our definition of a strategy to imperfect information games, an...more
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This course explores the basic principles of chemistry and their application to engineering systems. It deals with the relationship between electronic structure, chemical bonding, and atomic order. It also investigates the characterization of atomic arrangements in crystalline and amorphous solids: metals, ceramics, semiconductors, and polymers (including proteins). Topics covered include organic chemistry, solution chemistry, acid-base eq...more
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Professor Summers, former U. S. Treasury Secretary and former President of Harvard University, in this the first of two lectures in honor of former Yale Professor and Council of Economic Advisors chairman Arthur Okun, offers thoughts on the role of monetary policy in economic fluctuations, past and present. In the "Okun period," ending about when Okun died in 1980, the monetary authorities were very much involved in actually creating econo...more
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We continue our discussion of mixed strategies. First we discuss the payoff to a mixed strategy, pointing out that it must be a weighed average of the payoffs to the pure strategies used in the mix. We note a consequence of this: if a mixed strategy is a best response, then all the pure strategies in the mix must themselves be best responses and hence indifferent. We use this idea to find mixed-strategy Nash equilibria in a game within a g...more
