Question

By assuming that these quantities were approximated by integers, Carnahan and Starling derived a closed-form algebraic expression for them. One of these quantities is computed by evaluating the integral with respect to radius of “radius squared” times the following: “the exponential of the negative of the pairwise potential over k-sub-B T, all minus one.” In the hard sphere model, (10[1])one of these quantities is simply four times the particle volume, which is unphysical because it should be temperature-dependent. (-5[1])Calculating the eighth of these values requires evaluating (10[1])7,123 (10[2])integrals of Mayer (10[1])f-functions. (10[3]-5[2])For a van der Waals gas, (10[1])the expression (10[1])“b (10[1])minus (10[1])the quotient of a and k-sub-B T” gives the (10[1])second of these values. (10[2])For 10 points, deviation from ideal gas behavior is expressed by what quantities that multiply powers of density (10[1])in (10[1])an equation (10[1])of state (10[1])that is obtained by expanding the compressibility factor? (10[1])■END■ (10[1]0[1])

ANSWER: virial coefficients [or coefficients in the virial equation of state; accept specific virial coefficients, such as the second virial coefficient] (The second sentence describes computing the second virial coefficient by integrating a Mayer f-function.)
<Physics>
= Average correct buzz position

Summary

2023 ACF Nationals04/22/2023Y21100%0%14%105.90

Buzzes

PlayerTeamOpponentBuzz PositionValue
Geoffrey ChenCornell AJohns Hopkins A5810
Carlos DoebeliImperial ANorth Carolina A77-5
Connor BlakeChicago CFlorida B8510
Kevin YeUC Berkeley BRutgers B8610
Alex AkridgeIndiana APurdue A8610
Daniel SheinbergYale ATexas A8910
JD KrothIowa State AVirginia A90-5
Leo LawFlorida AColumbia B9010
Tim MorrisonStanford ABrown A9010
Adam FineChicago AHarvard A9010
Paul LeeWUSTL AToronto A90-5
Vivek SasseChicago BUC Berkeley A9610
Clark SmithOhio State AMcGill A9810
Steven LiuMIT ADuke A9910
Andrew HannaVanderbilt APenn A10010
Isak JatoiSouth Carolina AYale B10910
Maxwell YeMinnesota AMaryland A11310
Geoffrey WuColumbia AWUSTL B11310
Andrew SalijNorthwestern AMinnesota B13110
Vincent DuNorth Carolina AImperial A13210
Nat KuNYU AClaremont A13410
David BassVirginia AIowa State A13610
Raymond ChenToronto AWUSTL A14410
Todd MaslykMichigan APenn State A14510
Alex SchmidtPenn State AMichigan A1450