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New trends in physics teaching, v.4; The ... - unesdoc - Unesco

New trends in physics teaching, v.4; The ... - unesdoc - Unesco

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Introductory statistical <strong>physics</strong><br />

for the total number of microstates of N oscillators shar<strong>in</strong>g q quanta. Now the unit change<br />

method gives, if one quantum is added, a multiplier of (N+q) and a divider of (q+l). As q+l x q<br />

this at once gives (N+q)/q for the factor multiply<strong>in</strong>g S2 when one quantum is added, or divid<strong>in</strong>g<br />

it when one is taken away. As argued before, the multiply<strong>in</strong>g factor is much simpler than the<br />

th<strong>in</strong>g it multiplies.<br />

E xponenti a I<br />

Reversible and Chance<br />

atmosphere ir reversi ble State, distribution<br />

Boltzmann<br />

processes<br />

factor<br />

Random motion<br />

chance<br />

Diffusion<br />

2N<br />

Isothermal<br />

expansion<br />

Aln n=Nln2<br />

AS=NkTbInV<br />

Uses of Boltzmann<br />

vapour pressure<br />

therm ionic emission<br />

conduction<br />

rate of reaction<br />

ionization<br />

melt<strong>in</strong>g. evaporation<br />

Figure 8. Bent’s method.<br />

Bent has previously <strong>in</strong>troducedS= k In S2, by announcement, not argument. Also he has def<strong>in</strong>ed<br />

T = dU/dS at constant volume<br />

so that when one quantum of energy E is transferred,<br />

169

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