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Journal : Jurnal Sains Dasar

Kajian efek Mpemba pada pendinginan air keran yang awalnya dipanaskan secara infinitesimal Founda Noviani, Elisabeth Pratidhina; Setiawan, Arif; Dwandaru, Wipsar Sunu Brams
Jurnal Sains Dasar Vol 2, No 2 (2013): October 2013
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jsd.v2i2.3291

Abstract

Abstract   The purpose of this research is to know whether in the cooling process of tap water that is initially heated infinitesimally follow the Mpemba effect or not. The sample that is used in this research is tap water from a uniform source. The control variables are freezer temperature, the content of water, volume of water, and type of water. Two variations are done on the sample, i.e. the water is initially heated infinitesimally and the water is not heated. Both samples are cooled together in a freezer. For some period of time their temperature is measured. The experiment is repeated nine times. Based on the analysis, water that is initially heated infinitesimally takes shorter time to reach zero centigrade than water that is initially unheated. The cooling graph of water that is initially heated infinitesimally intersects the cooling graph of water that is initially unheated. The intersection lies between 5.5oC until 26.5o C. From all parameters that are obtained from the data analysis, it can be concluded that the Mpemba effect occurs consistently in the cooling process of tap water that is initially heated infinitesimally.   Key words: Mpemba effect, freezing, tap water, infinitesimal heating, cooling, time
An extension of Gibbs variational principle for canonical partition function Elisabeth Pratidhina Founda Noviani; Wipsar Sunu Brams Dwandaru
Jurnal Sains Dasar Vol 2, No 1 (2013): April 2013
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (71.442 KB) | DOI: 10.21831/jsd.v2i1.3577

Abstract

Abstract   A variational principle is derived based upon the canonical partition functions. This variational principle is obtained using the Gibbs variational principle. Firstly, the Gibbs variational principle is highlighted for the canonical ensemble. Then, the Gibbs variational principle is modified such that a variational principle concerning the partition function is obtained. The latter variational principle is useful as the canonical partition function is an important quantity in deriving many thermodynamic quantities of a physical system based upon the distribution of the constituents that makes up the system.   Key words: variational principle, Gibbs variational principle, partition function