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Unformatted text preview: Thus, or, since k must be constant, 2 2 1 1 P V P V = for any two states 1 and 2 (that is, for any initial state 1 to any final state 2 where we vary either pressure or volume. Charles decided that he was rather more interested in the relationship between the volume of a gas and the temperature of the gas at constant number of moles n and pressure p. Holding the pressure constant on the cylinder (as simple as not adding any weight to the cylinder, making its pressure equal to atmospheric pressure), he measured the volume of a gas as he heated and cooled the cylinder. Charles discovered on plotting volume and temperature that there was a direct proportionality, that is, as temperature increased, so increased volume. He wrote the corresponding proportionality as The next step, as with Boyle, is to remove the proportionality by adding a constant; | 1/P V T n, a | k = VP T n, | k/P = V T n, | T V P n, a...
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- Fall '11