degrees of freedom - 2024 ACF Fall

Question

For a system in thermal equilibrium, kinetic energy is shared equally among all of these things according to the equipartition theorem. For 10 points each:

[10h] Identify these things. A linear molecule of size N will have 3 translational, 2 rotational, and 3N minus 5 vibrational types of these things.

ANSWER: degrees of freedom [or DOF or modes]

[10e] The Gibbs phase rule states [read slowly] that the number of degrees of freedom of a system equals the number of components minus the number of phases plus this number. Helium has this atomic number.

ANSWER: two

[10m] For an ideal gas, an index described by this word equals [read slowly] f plus 2 over f, where f is the number of degrees of freedom. This word also describes processes with no net heat transfer.

ANSWER: adiabatic [accept adiabatic index]

Back to bonuses

Summary


2024 ACF Fall at Ohio State	fall	Y	9	15.56	100%	33%	22%
2024 ACF Fall at Washington	fall	Y	7	14.29	100%	14%	29%
2024 ACF Fall at Georgia	fall	Y	12	18.33	100%	58%	25%
2024 ACF Fall at North Carolina	fall	Y	9	11.11	100%	11%	0%
2024 ACF Fall at Rutgers	fall	Y	7	18.57	100%	29%	57%
2024 ACF Fall at Illinois	fall	Y	10	21.00	100%	60%	50%

Data


CWRU A (UG)	Miami A (UG)	0	10	0	10
CWRU B (DII)	Miami B (UG)	10	10	10	30
CWRU C (UG)	Michigan State B	0	10	0	10
Michigan State A	Michigan A (UG)	10	10	0	20
Jefferson County Scholars (DII)	Michigan D (UG)	0	10	10	20
Ohio State A (UG)	Michigan C	0	10	0	10
Michigan B (UG)	Ohio State B (DII)	0	10	10	20
West Virginia A (UG)	Ohio State C (DII)	0	10	0	10
Miami C (DII)	West Virginia B (UG)	0	10	0	10
UW Chastity	Alberta	10	10	10	30
Arizona State A	Arizona State B	10	10	0	20
UBC A	UBC B	0	10	0	10
UW Gluttony	UW Greed	0	10	0	10
UW Lust	UW Envy	0	10	0	10
James Madison A	Appalachian State B	0	10	0	10
James Madison B	Duke A	0	10	0	10
Tusculum	Liberty B	0	10	10	20
Duke B	Liberty C	0	10	0	10
NC State	William & Mary	0	10	0	10
UNC A	Liberty A	0	10	0	10
UNC C	Virginia Tech A	0	10	0	10
Virginia	UNC D	0	10	0	10
VCU	Virginia Tech B	0	10	0	10
Rowan A (DII)	Bard A (UG)	0	10	0	10
Rutgers A (UG)	Columbia A (UG)	10	10	10	30
Lehigh A (UG)	Maryland B (DII)	0	10	0	10
UW Pride	UW Wrath	0	10	0	10
UW Sloth	Boise State	0	10	0	10
Georgia A	Alabama A	0	10	0	10
Clemson B	Auburn B	0	10	10	20
Belmont	Auburn C	0	10	0	10
Emory A	Vanderbilt A	0	10	0	10
Georgia Tech A	Georgia Tech D	10	10	10	30
Georgia Tech C	Furman	0	10	10	20
Georgia Tech E	Auburn A	10	10	0	20
Mississippi State A	Emory Oxford	10	10	0	20
South Carolina A	Tennessee A	0	10	10	20
South Carolina B	Georgia Tech B	0	10	10	20
Southern	Tennessee B	0	10	10	20
Clemson A	Vanderbilt B	0	10	10	20
Lehigh B (DII)	NYU B	0	10	0	10
Columbia J (DII)	Maryland A (DII)	10	10	0	20
Penn B (DII)	Columbia B	10	10	0	20
Rutgers B	Princeton A (UG)	10	10	10	30
Chicago A	Notre Dame A	10	10	10	30
Illinois C	Chicago B	10	10	10	30
Illinois A	Illinois D	10	10	0	20
WashU A	Illinois B	0	10	10	20
Iowa A	Northwestern A	10	10	0	20
Northwestern B	Indiana	0	10	10	20
WashU B	Notre Dame B	0	10	10	20
Purdue A	Purdue B	10	10	10	30
Purdue C	Notre Dame C	0	10	0	10
Iowa B	SIUE	0	10	0	10