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Packet 8: Bonus 12

Volume, temperature, and this quantity are held constant in the canonical ensemble. For 10 points each,
[10m] Name this quantity, which in a reformulation of the ideal gas law, equals P V over k T.
ANSWER: particle number [accept N; prompt on partial answer]
[10e] The BBGKY hierarchy couples the density function named for this quantity for n and n+1 particles. This quantity between zero and one gives the chance of observing a particle in a given state.
ANSWER: probability [accept probability density function; prompt on distribution function]
[10h] Finding the probability that a particle occupies a particular energy state in the Boltzmann distribution requires finding its Boltzmann factor and then dividing it by this function that normalizes the distribution.
ANSWER: partition function [accept canonical partition function or grand partition function; prompt on Z]
<Science - Physics, Rohan Ganeshan> | VAULT II Packet 08

HeardPPBE %M %H %
4313.4965%42%28%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Chattahoochee BNorthview B0000
ExhibitionHoover1010020ME
Innovation AMidtown1010020ME
Innovation BLambert B001010H
Johns CreekNorthview A1001020MH
Lambert AChattahoochee A10101030MEH

Summary

TournamentEditionMatchHeardPPBE %M %H %
VAULT II at Georgia Tech2026-01-24✓616.6750%67%50%
Triangle Cup2026-03-13✓313.3367%33%33%
VAULT II at Eden Prairie HS2026-03-13✓36.6767%0%0%
VAULT II at McGill2026-03-13✓42.5025%0%0%
VAULT II at UCSB2026-03-13✓425.00100%100%50%
VAULT II Northern UK2026-04-24✓313.33100%0%33%
VAULT II Southern UK2026-04-24✓410.0050%50%0%
VAULT II at Harvard2026-04-30✓316.67100%33%33%
VAULT II at MINT2026-06-19✓56.0060%0%0%
VAULT II Stanford Online2026-07-17✓818.7563%75%50%