One approximation of this quantity involves taking the limit of the integral [read slowly] “x to the fourth times e to the x, [pause] over the quantity e to the x minus one squared” in a model of this quantity that sets a namesake temperature proportional to the cube root of “six pi squared times number density”. Einstein’s model of this quantity with a lattice of 3D QHOs fails to account for the cubic temperature dependence of this quantity observed in the Debye (“duh-BYE”) model. This quantity’s high-temperature value is three times the ideal gas constant according to the Dulong–Petit law. The adiabatic index is the ratio between this quantity’s constant-volume and constant-pressure forms. For 10 points, one calorie per gram per degree Kelvin is water’s value of what quantity, which measures how much heat it takes to increase an object’s temperature? ■END■
| 2024 ACF Winter at UC Berkeley | 2024-11-16 | Y | 3 | 100% | 0% | 33% | 85.67 |
| 2024 ACF Winter at Clemson | 2024-11-16 | Y | 8 | 100% | 0% | 13% | 109.88 |
| 2024 ACF Winter at Lehigh | 2024-11-16 | Y | 8 | 88% | 0% | 13% | 79.29 |
| 2024 ACF Winter at Northwestern | 2024-11-16 | Y | 9 | 100% | 0% | 0% | 60.78 |
| 2024 ACF Winter at Ohio State | 2024-11-16 | Y | 7 | 100% | 0% | 0% | 102.14 |
| 2024 ACF Winter at Online | 2024-11-16 | Y | 8 | 88% | 0% | 25% | 120.29 |
| 2024 ACF Winter at UBC | 2024-11-16 | Y | 3 | 100% | 0% | 0% | 94.00 |
| 2024 ACF Winter at Central Florida | 2024-11-16 | Y | 5 | 80% | 0% | 60% | 103.25 |
| 2024 ACF Winter at Oxford | 2024-11-16 | Y | 11 | 100% | 0% | 9% | 99.36 |
| 2024 ACF Winter at Brandeis | 2024-11-16 | Y | 10 | 100% | 0% | 10% | 110.40 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Rachel Bentham | Cambridge B | Manchester | 40 | 10 |
| Jeremy Cummings | WashU B | UChicago D | 42 | 10 |
| Jeremy Cummings | WashU B | UChicago D | 42 | 10 |
| Delia Cropper | Oxford A | Cambridge D | 42 | 10 |
| Kevin Ye | SFU | UBC A | 46 | 10 |
| Geoffrey Wu | Columbia A | Penn B | 50 | 10 |
| Swapnil Garg | Berkeley A | Stanford A | 55 | 10 |
| Maximilian Niebur | Johns Hopkins B | Lehigh A | 58 | 10 |
| Ishaan Singh | Purdue B | Purdue A | 58 | 10 |
| Aswath Karai (DII) | Michigan State A | Ohio State B (DII) | 58 | 10 |
| Sohum | Harvard A | MIT | 58 | 10 |
| Leo Law | UF A | Florida Tech A | 61 | 10 |
| Oscar O'Flanagan | Imperial A | Cambridge C | 62 | 10 |
| Matthew Sumanen | Georgia Tech A | Georgia Tech C | 63 | 10 |
| Sinecio Morales | Johns Hopkins A | Rutgers A | 63 | 10 |
| Coby Tran | UChicago C | Purdue C | 63 | 10 |
| Katherine Lei | Stanford L | Berkeley C | 64 | 10 |
| Teigue Kelly | Penn State A | Bard A | 64 | 10 |
| Alex Akridge | Indiana A | WashU C | 64 | 10 |
| Michal Gerasimiuk | stanford M | Berkeley B | 65 | -5 |
| Akshar Goyal | UIUC A | Purdue D | 65 | 10 |
| Akshar Goyal | UIUC A | Purdue D | 65 | 10 |
| Peter | Yale B | Amherst A | 67 | 10 |
| Yash Mandavia | UIUC B | WashU D | 68 | 10 |
| Calvin Bostleman (UG) | Ohio State A (UG) | Ohio State C (DII) | 70 | 10 |
| Braden Booth (D2) | Missouri | Arkansas | 70 | -5 |
| Ethan Ma | UIUC D | UChicago A | 80 | 10 |
| Roman Bassett | UF D | UF C | 80 | -5 |
| Tiffany Zhou | UF B | UF F | 80 | 10 |
| Austin Guo | Princeton A | Johns Hopkins B | 82 | 10 |
| Parker McCoig | Tennesse A | Alabama A | 83 | 10 |
| Athena Shadden (UG) | Texas A | Texas B | 83 | 10 |
| Oliver Beeby | Oxford B | Bristol B | 84 | 10 |
| Cole Welch | Georgia Tech E | Emory A | 91 | -5 |
| Zuhayr Shaikh | Birmingham | LSE B | 94 | -5 |
| Will McCurley | Auburn A | Emory B | 96 | 10 |
| Juan Landaeta | Florida State University A | UF E | 105 | -5 |
| Mark Tawfik | Rutgers C | Princeton A | 109 | -5 |
| Elijah Quan (DII) | Michigan D (DII) | CWRU D (DII) | 109 | 10 |
| Graham Close | Boston University A | Williams A | 109 | -5 |
| Yixi Yang | Yale A | Yale C | 109 | 10 |
| Justin Qian (DII) | UBC B | UW B | 111 | 10 |
| Peter Scully | Tufts A | Brandeises Brew | 112 | 10 |
| Collin Leck (D2) | Central Oklahoma | Oregon State | 113 | -5 |
| Niru Shakya | Florida Tech B | UCF B | 116 | -5 |
| Michael Wu | Southampton B | Durham A | 116 | 10 |
| Jason Thieu (DII) | Michigan State B (UG) | Pitt A | 117 | 10 |
| Todd Maslyk | Michigan A | Kenyon B (DII) | 118 | 10 |
| Alan | CWRU B | Kenyon A | 118 | 10 |
| Robert Wang | Penn State B | Rowan A | 119 | 10 |
| Robert Wang | Penn State B | Rowan A | 119 | 10 |
| Chris Levesley | Warwick A | Durham B | 119 | 10 |
| Lewys Jenkins | Bristol A | Vanderbilt | 119 | 10 |
| Dylan Dexter (D2) | Ole Miss | Iowa | 121 | 10 |
| Cormac Stephenson | Southampton A | Cambridge A | 121 | 10 |
| Andy Huff | LSE A | Warwick B | 121 | 10 |
| Hayden Webb (D2) | Arkansas | Missouri | 122 | 0 |
| Charlie Weaver | Clemson A | Georgia Tech D | 124 | 10 |
| Malachi Ledford | Tusculum A | Tennesse B | 124 | 10 |
| Derek Fino | Clark A | Diamond Brandeis | 124 | 10 |
| Coy Mier | Auburn C | Georgia Tech F | 125 | 10 |
| Jacob Evans (DII) | Michigan State C (UG) | CWRU C (UG) | 125 | 10 |
| Parker Knudson (D2) | Texas C | WUSTL A | 125 | 10 |
| Sam Macchi (D2) | Vassar A | Texas D | 125 | 10 |
| Jackson Hopper (UG) | Mississippi State | Colorado College | 125 | 10 |
| Zaid Asif (D2) | NYU B | Vassar B | 125 | 10 |
| Anne Fjeld (DII) | Alberta | UW A | 125 | 10 |
| Ryan Lee | Brown A | Tufts B | 125 | 10 |
| Cindy Zhou | BU B | Bowdoin B | 125 | 10 |
| Rajat Sethi | Northeastern A | Carabrandeis | 125 | 10 |
| Richard Lim | Bowdoin A | A Brandeis Supreme | 125 | 10 |
| Martin Brandenburg | Georgia A | Auburn B | 126 | 10 |
| Tom Haines | Durham A | Southampton A | 131 | 10 |
| Sheikh Aruf | UCF B | Florida Tech B | 134 | 10 |
| Ethan Young | Williams A | Boston University A | 134 | 10 |
| Rohan Shelke | Berkeley B | stanford M | 138 | 10 |
| Luke Zhang | Emory A | Georgia Tech E | 138 | 10 |
| Jasin Cekinmez | Princeton A | Rutgers C | 138 | 0 |
| Brynn Jones | Oregon State | Central Oklahoma | 138 | 10 |
| Matthew Andersen | UF C | UF D | 138 | 0 |
| Aryan Pathak | UF E | Florida State University A | 138 | 10 |
| David Worley | LSE B | Birmingham | 138 | 10 |