{"id":33515,"date":"2021-03-09T13:00:43","date_gmt":"2021-03-09T13:00:43","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=33515"},"modified":"2025-07-26T07:58:16","modified_gmt":"2025-07-26T07:58:16","slug":"finis-thermodynamicus-pressio-et-variabiles","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/la\/finis-thermodynamicus-pressio-et-variabiles\/","title":{"rendered":"Finis Thermodynamicus, Pressio et Variabiles"},"content":{"rendered":"<p><center><\/p>\n<h1>Finis Thermodynamicus, Pressio et Variabiles Extensivae et Intensivae<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><em><strong>Summarium:<\/strong><br \/>\nHaec classis conceptum Finis Thermodynamici introducit ut explicet quomodo quaedam systemata physica statisticis modis tractentur. Analogiam partium in murum collidentium adhibet, ubi pressio ut vis totalis per unitatem areae definitur. Cum aream infinitam consideramus, pressio in receptaculo ex impulso quod moleculae in parietes suos exercent computatur.<\/em><\/p>\n<p style=\"text-align:center;\"><strong>Propositi Discendi:<\/strong><br \/> Post hanc classem concludendam discipulus poterit:<\/p>\n<ol>\n<li><strong>Explicare<\/strong> quomodo finis thermodynamicus applicetur in definitione pressionis in terminis vis totalis et areae<\/li>\n<li><strong>Comprehendere<\/strong> quomodo finis thermodynamicus applicetur in physica statistica et in theoria cinetica gasorum.<\/li>\n<li><strong>Comprehendere<\/strong> differentiam inter variabiles intensivas et extensivas.<\/li>\n<li><strong>Comprehendere<\/strong> notiones fundamentales post diversos accessus quibus thermodynamica investigatur.<\/li>\n<\/ol>\n<p style=\"text-align:center;\">\n<strong><u>INDEX CONTENTORUM<\/u>:<\/strong><br \/>\n<a href=\"#1\">INTRODUCENS PRESSIONEM IN LIMITE THERMODYNAMICO<\/a><br \/>\n<a href=\"#2\">FINIS THERMODYNAMICUS<\/a><br \/>\n<a href=\"#3\">VARIABILES EXTENSIVAE ET INTENSIVAE<\/a><br \/>\n<a href=\"#4\">ACCESSUS THERMODYNAMICAE<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/aFNvauKaF4o\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>Pressionem in Limite Thermodynamico Introducens<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=95s\" rel=\"noopener\" target=\"_blank\"><strong>Conceptus Finis Thermodynamici<\/strong><\/a> permittit intellegere quare quaedam systemata physica per considerationes statisticas tractari possint. Hoc est propter <a href=\"https:\/\/toposuranos.com\/mol-y-masa-molar\/\" rel=\"noopener\" target=\"_blank\"><strong>magnam multitudinem particularum quae eos componunt.<\/strong><\/a> Simplex via hoc demonstrandi est per analogiam. Finge te habere tormentum particularum quod eas certa celeritate contra murum mittit; quoniam particulae massam habent, cum muro colliduntur momentum suum paulum transferunt, atque ideo certum impetum exercent.<\/p>\n<p style=\"text-align: justify;\">Ita, velocitate et massa cognitis, vis quam singula particula exercet computari potest. Nunc imagina non esse tormentum, sed imbrem uniformiter concentratum innumerarum particularum regionem solii percutientium, quae tam magna esse potest quam volumus. Quid inde consequitur?<\/p>\n<ol style=\"text-align: justify;\">\n<li>Vis media exercita augetur dum maiorem aream consideramus. Hoc sensum habet quia quanto maior est area, tanto plures particulae accipiuntur.<\/li>\n<li>Etiamsi vis a singula particula exercita fluctuet, hoc \u00ablenitur\u00bb et ad valorem mediocris tendit. Re quidem vera fluctuationes magnae esse possunt, sed si aream augemus, vis totalis tam ingens erit ut talis fluctuatio insignificans fiat.<\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=280s\" rel=\"noopener\" target=\"_blank\"><strong>Quoniam vis totalis exercita est proportionalis areae, sensum habet sequentem definitionem statuere:<\/strong><\/a><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>Definitio<\/strong><\/td>\n<\/tr>\n<tr>\n<td>\n<p style=\"text-align:justify;\">Definitur <strong><a href=\"https:\/\/toposuranos.com\/tag\/presion\/\" rel=\"noopener\" target=\"_blank\">Pressio<\/a><\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> generata per vim totalem <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}<\/span> ad aream <span class=\"katex-eq\" data-katex-display=\"false\">{A}<\/span> applicatam ut limes<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{\\displaystyle P = \\lim_{A\\to\\infty} \\frac{\\vec{F}\\cdot \\hat{n}}{A}}<\/span>\n<p style=\"text-align:justify;\">Ubi <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{n}<\/span> est vector normalis superficiei.<\/p>\n<p><center><img decoding=\"async\" class=\"lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-8uSlbm03nEI\/YEfJFN4Gs-I\/AAAAAAAAEsY\/8szyQpVpGF0fy7u-7AU1BesRgwdvlRhMwCLcBGAsYHQ\/s438\/presion.PNG\" alt=\"pressio et finis thermodynamicus\" width=\"300\" height=\"300\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/1.bp.blogspot.com\/-8uSlbm03nEI\/YEfJFN4Gs-I\/AAAAAAAAEsY\/8szyQpVpGF0fy7u-7AU1BesRgwdvlRhMwCLcBGAsYHQ\/s438\/presion.PNG\" alt=\"pressio et finis thermodynamicus\" width=\"300\" height=\"300\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align:justify;\">Hoc est quod frequenter compendiose scribitur ut<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P = \\frac{F}{A}<\/span>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">Pressio introducta in nostra analogia non mutatur dum area augetur; immo, fluctuationes in pressione evanescere tendunt. Revera fluctuationes neglegi possunt si limitem sumimus quo area ad infinitum tendit.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>Finis Thermodynamicus<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=532s\" rel=\"noopener\" target=\"_blank\"><strong>Si moleculas in motu intra vas consideremus,<\/strong><\/a> quotiescumque illae contra finem colliduntur certum impetum in eam exercent. Effectus collectivus omnium illorum impetuum est quod ut pressionem interpretamur: vis per unitatem areae super totam superficiem extensa. Si vas esset minimum, forsitan fluctuationes virium curare deberemus; tamen plerumque numerus particularum tam magnus est ut fluctuationes neglegi possint. Pressio gasi sub his conditionibus omnino uniformis consideratur. Haec descriptio quam modo fecimus est quod intellegitur tamquam \u00abin <strong>limite thermodynamico<\/strong> esse.\u00bb<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>Variabiles Extensivae et Intensivae<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=619s\" rel=\"noopener\" target=\"_blank\"><strong>Supponamus vas volumen<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">V<\/span> gasem habere ad temperaturam <span class=\"katex-eq\" data-katex-display=\"false\">T<\/span>, pressionem <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> et totam eius energiam kineticam esse <span class=\"katex-eq\" data-katex-display=\"false\">U<\/span>. Fingamus nunc nos ponere septum intra vas quod gasem in duas partes aequales separat. Tum habebimus volumen uniuscuiusque partis <span class=\"katex-eq\" data-katex-display=\"false\">V^*<\/span> fore<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle V^* = \\frac{V}{2}<\/span>\n<p style=\"text-align: justify;\">Energia cinetica totius cuiusque partis <span class=\"katex-eq\" data-katex-display=\"false\">U^*<\/span> etiam erit dimidia<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle U^* = \\frac{U}{2}<\/span>\n<p style=\"text-align: justify;\">Tamen magnitudines ut temperatura et pressio eadem erunt in utraque parte<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P^* = P<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">T^* = T<\/span>\n<p style=\"text-align: justify;\">Hinc fit distinctio inter magnitudines in thermodynamica implicatas. Loquimur de <strong>variabilibus extensivis<\/strong> cum magnitudines quas repraesentant secundum magnitudinem systematis variantur, ut volumen aut energia, et intelligimus <strong>variabiles intensivas<\/strong> esse magnitudines quae non variantur secundum magnitudinem systematis, ut pressio et temperatura.<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>Accessus thermodynamicae<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=786s\" rel=\"noopener\" target=\"_blank\"><strong>Historice thermodynamica variis gradibus evoluta est, quae nobis plures accessus reliquit.<\/strong><\/a><\/p>\n<ul style=\"text-align: justify;\">\n<li>Classica <strong>Thermodynamica<\/strong> tractat proprietates macroscopicas, ut pressionem, temperaturam et volumen, sine cura aspectuum microscopicorum materiae. Haec tractat systemata satis magna ut fluctuationes ante finem thermodynamicum ignorentur et structuram atomicam materiae ignorat.<\/li>\n<li><strong>Teoria Cinetica Gasorum<\/strong> studet determinare <strong>proprietates gasorum<\/strong> considerans distributiones probabilitatis motioni molecularum associatas. Initium eius controversum fuit quia, cum creata esset, adhuc dubia erant de existentia atomorum et molecularum, quae exeunte saeculo XIX demonstrata est.<\/li>\n<li>Inventio atomorum ad evolutionem <strong>Mechanicae Statisticae<\/strong> duxit. Profecto, loco a descriptione proprietatum macroscopicorum incipere, ut in thermodynamica fit, accessus eius incipit conatus describere status systematum microscopicorum singularium et deinde, methodis statisticis adhibitis, conatur deducere proprietates macroscopicorum systematis. Hic accessus favore fruitur ob progressionem <strong>mechanicae quanticae,<\/strong> quia descriptionem microsystematum quanticorum permittit. Ita quod in thermodynamica describitur obtinetur tamquam processus in limite mechanicae statisticae in limite thermodynamico.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Finis Thermodynamicus, Pressio et Variabiles Extensivae et Intensivae Summarium: Haec classis conceptum Finis Thermodynamici introducit ut explicet quomodo quaedam systemata physica statisticis modis tractentur. Analogiam partium in murum collidentium adhibet, ubi pressio ut vis totalis per unitatem areae definitur. Cum aream infinitam consideramus, pressio in receptaculo ex impulso quod moleculae in parietes suos exercent computatur. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29123,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":11,"footnotes":""},"categories":[1274,1250,1292],"tags":[],"class_list":["post-33515","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanica-fluidorum","category-physica","category-thermodynamica"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Finis Thermodynamicus, Pressio et Variabiles - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"Finis thermodynamicus explicat quomodo, cum magnitudo systematis augetur, fluctuationes insignificantes fiant, permittentes ut eius comportamentum mediis statisticis describatur. 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