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Methanol is toxic for humans if they ingest liquid methanol or inhale methanol vapor in significant quantities. When inhaled in concentration greater than 1000 ppm, death has been reported. Humans metabolize methanol into formic acid which is then converted into formate. Formate deprives bodily tissues of oxygen. Rabbits and rats are among a subset of animals which are not able to excrete as much formic acid, so they are not as sensitive to methanol as humans. The LD50 (lethal dose for 50% of a population) of rats is 64,000 ppm for four hours of exposure. Some rats may become ill or die when inhaling concentrations around 40380 ppm. Suppose an improperly capped bottle of methanol allows methanol vapor to escape into a room. At what temperature is the room when the equilibrium concentration of methanol vapor is 40380 ppm? Assume that the atmospheric pressure in the room is 760 mm Hg. (Note: To convert ppm to mole fraction, divide the ppm number by 10^6.)

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