Revised 2/9/2005
SUPPLEMENTARY COUNTING AND PROBABILITY PROBLEMS
1430 - TEST 5
1. An urn contains 5 red, 5 blue and 5 white marbles, each exactly alike except for color: a) If one marble is withdrawn, what is the expected probability that it will be blue?
Physics 163a Problem Set 1
Miles Ketchum mketchum@brandeis.edu due date: 09/18/07
Chandler 1.12
The energy for a rubber band is E = T S + f L + N The dierential is dE = T dS + SdT + Ldf + f dL + N d + dN but the total change to the energy is 0, so T dS, L
A method to illustrate the extensive and intensive properties of thermodynamic variables
Stephen R. Addison Department of Physics and Astronomy University of Central Arkansas Conway, AR 72035 saddison@mail.uca.edu
INTRODUCTION Over the last ten years, uni
TABLE I: Road Map of Ensembles ensemble macrostate probability distribution pi = 1/ pi = exp(Ei )/Z thermodynamics S (E, V, N ) = kln() F (T, V, N ) = kT ln(Z )
microcanonical E, V, N canonical T, V, N
grandcanonical T, V,
pi = exp( (Ei Ni )/Z (T, V, ) =