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Rowlinson, J.S. (2009) James Joule, William Thomson and the Concept of a Perfect Gas.
http://rsnr.royalsocietypublishing.org/content/64/1/43.full, extract: In 1845 Joule had tried to verify this assumption, which Thomson always called “Mayer’s hypothesis”, by expanding a cylinder of compressed gas into an empty cylinder but, as he later admitted, he failed because the heat capacity of his vessels was too large compared with that of the gas. We now know that for air at atmospheric pressure and temperature the difference between the two terms on the right of this equation is only about 3 parts per thousand of either of them.

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