A system of physical chemistry - Index of

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A system of physical chemistry - Index of

192

A SYSTIiM OF PHYSICAL CBEMISTRY

S = /^N ", V(27r;;/yC'T)^ E 1

where E is the kinetic energy of the molecules.

Writing R for k. N and putting E equal to ^RT, we obtain—

S = R I (i + log T) + log V + J log {2^mk) - log g]

.

(16)

Since /V 5]

= RT and = Cp ~R, equation (13) can be readily transformed

to—

R ^ (i + log T) + log V - log R + - + I (17)

The formal similarity between (16) and (17) is obvious, and the

two results lead to the connection between Planck's G and Nernst's

" chemical constant," a, given by the equation—

or-

^ log {27rm/:) - log G = - log R + ^^ + i,

^ R(2ir;«>^)-

+ 1

eR

The thermodynamic treatment can be found in the third edition of

Planck's Titer tnodyriamics. Chap. VI. The development of the ideas

based on the quantum hypothesis is given in his Theorie der W'drmes-

trahlung (2nd edition, pp. 110-32).

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