Physical Review 29

Cover Physical Review 29
Physical Review 29
American Institute of Physics
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Let us now consider the three equations : I. pu = IfT, II. p^ = 7(^)-p^o.
III. C^^t(I'^)-o^o, 308 A, G, WEBSTER AND M, A, ROSANOFR [Vol. XXIX.
or the less inclusive than I expressing Boyle's law, If I is true we easily show that II and III are also. Accordingly I is a sufficient definition of an ideal gas, but, as has been stated, in- volves the previous knowledge of the absolute temperature. On the other hand suppose that we have only Boyle's law I^. Then we have (21) P,='l{Tf'{T)-AT)) (22) C,
...K^'-{Tf'{T)-fT).
Consequently either of II or III involves the other, and in addition, since we obtain by integration of (23) T/'{T)-/(T)^o, AT) = RT the product po does measure the absolute temperature. Accord- ingly Buckingham's definition is both necessary and sufficient, and defines the absolute temperature, but may be replaced by the equiva- lent specification of Boyle's law and no cohesion, or, what is the same thing, the energy depends wholly on the temperature.
Finally, suppose we disregard the gas laws altogether, and con- sider only 11.


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