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In recent years, there has been a large push for an increase in the use of renewable resources to produce the energy we need to power our vehicles. One of the newer fuels that has become more widely available is E85, a mixture of 85% ethanol and 15% gasoline. Despite being more environmentally friendly, one of the potential drawbacks of E85 fuel is that it produces less energy than conventional gasoline. Assume a car gets 28.0 mi/gal using gasoline at $3.50/gal and 22.5 mi/gal using E85 at$2.85/gal. How much will it cost to drive 500. miles using each fuel?
Consider a large number of hydrogen atoms with electrons randomly distributed in the n= 1, 2, 3, and 4 orbits. (a) How many different wavelengths of light are emitted by these atoms as the electrons fall into lower-energy orbitals? (b) Calculate the lowest and highest energies of light produced by the transitions described in part (a). (c) Calculate the frequencies and wavelengths of the light produced by the transitions described in part (b).