{"id":292,"date":"2019-07-24T17:56:24","date_gmt":"2019-07-24T15:56:24","guid":{"rendered":"https:\/\/feb.ch.bme.hu\/?page_id=292"},"modified":"2020-11-20T12:24:47","modified_gmt":"2020-11-20T10:24:47","slug":"gaztorvenyek","status":"publish","type":"page","link":"https:\/\/feb.ch.bme.hu\/index.php\/szakmai-napok\/gaztorvenyek\/","title":{"rendered":"G\u00e1zt\u00f6rv\u00e9nyek"},"content":{"rendered":"\r\n<h2 class=\"wp-block-heading\">G\u00e1zt\u00f6rv\u00e9nyek<\/h2>\r\n\r\n\r\n\r\n<p><u>Halmaz\u00e1llapotok<img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-449 alignright\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gazok.png\" alt=\"Halmaz\u00e1llapotok\" width=\"243\" height=\"214\" \/><\/u><\/p>\r\n<ul>\r\n<li>Szil\u00e1rd: krist\u00e1lyos, amorf<\/li>\r\n<li>Fluidum: folyad\u00e9k, g\u00e1z<\/li>\r\n<li>(Plazma)<\/li>\r\n<\/ul>\r\n<p><u>Halmaz\u00e1llapot v\u00e1ltoz\u00e1sok<\/u><\/p>\r\n<ul>\r\n<li>Fagy\u00e1s \u2013 Olvad\u00e1s<\/li>\r\n<li>Szublim\u00e1ci\u00f3 \u2013 Deszublim\u00e1ci\u00f3<\/li>\r\n<li>P\u00e1rolg\u00e1s &#8211; Kondenz\u00e1ci\u00f3<\/li>\r\n<\/ul>\r\n<p><u>T\u00f6k\u00e9letes g\u00e1zok<\/u><\/p>\r\n<ul>\r\n<li>Pontszer\u0171<\/li>\r\n<li>Nincs kiterjed\u00e9s\u00fck<\/li>\r\n<li>T\u00f6k\u00e9letesen rugalmasan \u00fctk\u00f6znek<\/li>\r\n<li>Teljes\u00fclnek r\u00e1juk a t\u00f6k\u00e9letes g\u00e1zok t\u00f6rv\u00e9nyei<\/li>\r\n<\/ul>\r\n<p><u style=\"font-size: 0.9375rem;\">Re\u00e1lis g\u00e1zok<\/u><\/p>\r\n<ul>\r\n<li>Nem pontszer\u0171ek<\/li>\r\n<li>Van kiterjed\u00e9s\u00fck<\/li>\r\n<li>Nem t\u00f6k\u00e9letesen rugalmasan \u00fctk\u00f6znek<\/li>\r\n<li>Teljes\u00fclnek r\u00e1juk a reag\u00e1lis g\u00e1zok t\u00f6rv\u00e9nyei<\/li>\r\n<\/ul>\r\n<p><u>Avogadro t\u00f6rv\u00e9ny:<\/u><\/p>\r\n<p>Mivel az ide\u00e1lis g\u00e1zok k\u00f6z\u00f6tt a r\u00e9szecsk\u00e9k k\u00f6lcs\u00f6nhat\u00e1sa elhanyagolhat\u00f3, ez\u00e9rt az azonos t\u00e9rfogat\u00fa, azonos h\u0151m\u00e9rs\u00e9klet\u0171 \u00e9s azonos nyom\u00e1s\u00fa g\u00e1zok azonos sz\u00e1m\u00fa r\u00e9szecsk\u00e9t tartalmaznak.<\/p>\r\n<p><strong>M\u00e1sk\u00e9pp<\/strong> megfogalmazva: Azonos h\u0151m\u00e9rs\u00e9kleten \u00e9s nyom\u00e1son a g\u00e1zok t\u00e9rfogata az anyagmennyis\u00e9g\u00fckkel ar\u00e1nyos. Teh\u00e1t b\u00e1rmely t\u00f6k\u00e9letes g\u00e1z 1 molnyi molekul\u00e1ja azonos nyom\u00e1son megegyez\u0151 t\u00e9rfogatot t\u00f6lt ki.<\/p>\r\n<p><span style=\"text-decoration: underline;\">Relat\u00edv s\u0171r\u0171s\u00e9g:<\/span><\/p>\r\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-458\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz02-1.png\" alt=\"\" width=\"498\" height=\"38\" \/><\/p>\r\n<p><span style=\"text-decoration: underline;\">G\u00e1zok \u00e1llapothat\u00e1roz\u00f3i<\/span><\/p>\r\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-451\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz03.png\" alt=\"\u00e1llapothat\u00e1roz\u00f3k\" width=\"448\" height=\"214\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<table width=\"359\">\r\n<tbody>\r\n<tr>\r\n<td width=\"85\">\u00a0<\/td>\r\n<td width=\"123\">P<\/td>\r\n<td width=\"151\">T<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"85\">\r\n<p>Standard \u00e1llapot<\/p>\r\n<\/td>\r\n<td width=\"123\">101,325 kPa<\/td>\r\n<td width=\"151\">298,15 K (= 25 \u00b0C)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"85\">\r\n<p>Norm\u00e1l \u00e1llapot<\/p>\r\n<\/td>\r\n<td width=\"123\">\r\n<p>101,325 kPa<\/p>\r\n<\/td>\r\n<td width=\"151\">273,15 K (= 0 \u00b0C)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p><u>A parci\u00e1lis nyom\u00e1s<\/u><\/p>\r\n<ul>\r\n<li>A parci\u00e1lis nyom\u00e1s az a nyom\u00e1s a mit a vizsg\u00e1lt g\u00e1z fejtene ki akkor, ha \u00f6nmag\u00e1ban t\u00f6lten\u00e9 ki az eg\u00e9sz rendelkez\u00e9sre \u00e1ll\u00f3 teret.<\/li>\r\n<li>Jele: \ud835\udc43<sub>\ud835\udc56<\/sub><\/li>\r\n<\/ul>\r\n<p><u>Dalton-t\u00f6rv\u00e9ny<\/u><\/p>\r\n<ul>\r\n<li>A parci\u00e1lis nyom\u00e1sok \u00f6sszege megadja az \u00f6ssznyom\u00e1st.<\/li>\r\n<li>\u2211<sub>\ud835\udc56<\/sub> \ud835\udc43<sub>\ud835\udc56<\/sub> = \ud835\udc43<\/li>\r\n<\/ul>\r\n<p><u>A parci\u00e1lis t\u00e9rfogat<\/u><\/p>\r\n<ul>\r\n<li>A parci\u00e1lis t\u00e9rfogat az a t\u00e9rfogat, amit a g\u00e1z az adott nyom\u00e1son kit\u00f6ltene.<\/li>\r\n<li>Jele: \ud835\udc49<sub>\ud835\udc56<\/sub><\/li>\r\n<\/ul>\r\n<p><u>Amagat-szab\u00e1ly<\/u><\/p>\r\n<ul>\r\n<li>A parci\u00e1lis nyom\u00e1sok \u00f6sszege megadja az \u00f6ssznyom\u00e1st.<\/li>\r\n<li>\u2211<sub>\ud835\udc56<\/sub> \ud835\udc49<sub>\ud835\udc56<\/sub> = \ud835\udc49<\/li>\r\n<\/ul>\r\n<p><u>A tenzi\u00f3 fogalma<\/u><\/p>\r\n<ul>\r\n<li>A tenzi\u00f3 az a parci\u00e1lis g\u0151znyom\u00e1s, ami egyens\u00falyt tart a folyad\u00e9k f\u00e1zissal az adott h\u0151m\u00e9rs\u00e9kleten.<\/li>\r\n<\/ul>\r\n<p><strong>Mikor is forr fel valami?<\/strong><\/p>\r\n<ul>\r\n<li>Akkor besz\u00e9l\u00fcnk forr\u00e1sr\u00f3l ha a tenzi\u00f3 el\u00e9ri a k\u00fcls\u0151 nyom\u00e1st.<\/li>\r\n<\/ul>\r\n<p><strong>Mi a k\u00fcl\u00f6nbs\u00e9g a p\u00e1rolg\u00e1s \u00e9s a forr\u00e1s k\u00f6z\u00f6tt?<\/strong><\/p>\r\n<ul>\r\n<li>P\u00e1rolg\u00e1s sor\u00e1n csak a folyad\u00e9k-g\u0151z hat\u00e1ron t\u00f6rt\u00e9nik az \u00e1talakul\u00e1s.<\/li>\r\n<li>Forr\u00e1s sor\u00e1n m\u00e1r a folyad\u00e9kf\u00e1zison bel\u00fcl is van \u00e1talakul\u00e1s.<\/li>\r\n<\/ul>\r\n<p><strong>Mi\u00e9rt j\u00f3 ez nek\u00fcnk?<\/strong><\/p>\r\n<ul>\r\n<li>Magasabb nyom\u00e1son, magasabb h\u0151m\u00e9rs\u00e9kleten forrnak el az anyagok.<\/li>\r\n<\/ul>\r\n<p><u>G\u00e1zok folyamatai<\/u><\/p>\r\n<table width=\"633\">\r\n<tbody>\r\n<tr>\r\n<td width=\"189\">\r\n<p><u>Izob\u00e1r<\/u><\/p>\r\n<\/td>\r\n<td width=\"180\">\r\n<p><u>Izochor\/Izoszt\u00e9r<\/u><\/p>\r\n<\/td>\r\n<td width=\"265\">\r\n<p><u>Izoterm<\/u><\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"189\">\u0394P = 0<\/td>\r\n<td width=\"180\">\u0394V = 0<\/td>\r\n<td width=\"265\">\u0394T = 0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"189\">\r\n<p><u>Gay-Lussac I.<\/u><\/p>\r\n<\/td>\r\n<td width=\"180\">\r\n<p><u>Gay-Lussac II.<\/u><\/p>\r\n<\/td>\r\n<td width=\"265\">\r\n<p><u>Boyle-Mariotte<\/u><\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"189\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-459 size-full\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz04.png\" alt=\"V\/T = \u00e1lland\u00f3\" width=\"120\" height=\"51\" \/><\/td>\r\n<td width=\"180\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-460\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz05.png\" alt=\"p\/T = \u00e1lland\u00f3\" width=\"121\" height=\"56\" \/><\/td>\r\n<td width=\"265\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-461\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz06.png\" alt=\"p*V = \u00e1lland\u00f3\" width=\"162\" height=\"27\" \/><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-462\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz07.png\" alt=\"\" width=\"644\" height=\"191\" \/><\/p>\r\n<p><u>Az egyes\u00edtett g\u00e1zt\u00f6rv\u00e9ny<\/u><\/p>\r\n<ul>\r\n<li>Az el\u0151z\u0151 h\u00e1rom t\u00f6rv\u00e9ny egyes\u00edt\u00e9s\u00e9b\u0151l kapjuk<\/li>\r\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-466\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz08-1.png\" alt=\"p * V \/ T = \u00e1lland\u00f3\" width=\"152\" height=\"42\" \/><\/li>\r\n<\/ul>\r\n<p><u>Az univerz\u00e1lis g\u00e1zt\u00f6rv\u00e9ny<\/u><\/p>\r\n<ul>\r\n<li>az egyes\u00edtett g\u00e1zt\u00f6rv\u00e9nyb\u0151l \u00e9s az Avogadro-t\u00f6rv\u00e9nyb\u0151l j\u00f6n ki:<\/li>\r\n<li><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-468\" src=\"https:\/\/feb.ch.bme.hu\/wp-content\/uploads\/2020\/04\/gaz09.png\" alt=\"P * V = n * R * T\" width=\"125\" height=\"18\" \/><\/li>\r\n<li>P: A g\u00e1z nyom\u00e1sa [Pa] \/ [kPa]<\/li>\r\n<li>V: A g\u00e1z t\u00e9rfogata [m\u00b3] \/ [dm\u00b3]<\/li>\r\n<li>n: A g\u00e1z m\u00f3lsz\u00e1ma [mol]<\/li>\r\n<li>R: Regnault \u00e1lland\u00f3 = 8,314 [J\/(mol*K)]<\/li>\r\n<li>T: A g\u00e1z h\u0151m\u00e9rs\u00e9klete [K]<\/li>\r\n<\/ul>\r\n<p><a href=\"https:\/\/feb.ch.bme.hu\/index.php\/szakmai-napok\/\">Vissza a Szakmai Napok f\u00fclre<\/a><\/p>\r\n<h3>Feladatok:<\/h3>\r\n<p><a href=\"https:\/\/feb.ch.bme.hu\/index.php\/szakmai-napok\/gaztorvenyek\/feb-es-feladatsorok-gaztorvenyek\/\">FEB-es p\u00e9ldasorok<\/a><br \/><a href=\"https:\/\/feb.ch.bme.hu\/index.php\/szakmai-napok\/gaztorvenyek\/erettsegi-feladatok-gaztorvenyek\/\">\u00c9retts\u00e9gi p\u00e9ld\u00e1k<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>G\u00e1zt\u00f6rv\u00e9nyek Halmaz\u00e1llapotok Szil\u00e1rd: krist\u00e1lyos, amorf Fluidum: folyad\u00e9k, g\u00e1z (Plazma) Halmaz\u00e1llapot v\u00e1ltoz\u00e1sok Fagy\u00e1s \u2013 Olvad\u00e1s Szublim\u00e1ci\u00f3 \u2013 Deszublim\u00e1ci\u00f3 P\u00e1rolg\u00e1s &#8211; Kondenz\u00e1ci\u00f3 T\u00f6k\u00e9letes g\u00e1zok Pontszer\u0171 Nincs kiterjed\u00e9s\u00fck T\u00f6k\u00e9letesen rugalmasan \u00fctk\u00f6znek Teljes\u00fclnek r\u00e1juk a t\u00f6k\u00e9letes g\u00e1zok t\u00f6rv\u00e9nyei Re\u00e1lis g\u00e1zok Nem pontszer\u0171ek Van kiterjed\u00e9s\u00fck Nem t\u00f6k\u00e9letesen rugalmasan \u00fctk\u00f6znek Teljes\u00fclnek r\u00e1juk a reag\u00e1lis g\u00e1zok t\u00f6rv\u00e9nyei Avogadro t\u00f6rv\u00e9ny: Mivel az ide\u00e1lis g\u00e1zok k\u00f6z\u00f6tt a r\u00e9szecsk\u00e9k k\u00f6lcs\u00f6nhat\u00e1sa elhanyagolhat\u00f3, ez\u00e9rt az azonos t\u00e9rfogat\u00fa, azonos h\u0151m\u00e9rs\u00e9klet\u0171 \u00e9s azonos nyom\u00e1s\u00fa g\u00e1zok azonos sz\u00e1m\u00fa r\u00e9szecsk\u00e9t tartalmaznak. M\u00e1sk\u00e9pp megfogalmazva: Azonos h\u0151m\u00e9rs\u00e9kleten \u00e9s nyom\u00e1son a g\u00e1zok t\u00e9rfogata az anyagmennyis\u00e9g\u00fckkel ar\u00e1nyos. Teh\u00e1t b\u00e1rmely t\u00f6k\u00e9letes g\u00e1z 1 molnyi molekul\u00e1ja azonos nyom\u00e1son megegyez\u0151 t\u00e9rfogatot t\u00f6lt ki. Relat\u00edv s\u0171r\u0171s\u00e9g: G\u00e1zok \u00e1llapothat\u00e1roz\u00f3i &nbsp; \u00a0 P T Standard \u00e1llapot 101,325 kPa 298,15 K (= 25 \u00b0C) Norm\u00e1l \u00e1llapot 101,325 kPa 273,15 K (= 0 \u00b0C) A parci\u00e1lis nyom\u00e1s A parci\u00e1lis nyom\u00e1s az a nyom\u00e1s a mit a vizsg\u00e1lt g\u00e1z fejtene ki akkor, ha \u00f6nmag\u00e1ban t\u00f6lten\u00e9 ki az eg\u00e9sz rendelkez\u00e9sre&hellip;<\/p>\n<p> <a class=\"more-link\" href=\"https:\/\/feb.ch.bme.hu\/index.php\/szakmai-napok\/gaztorvenyek\/\">B\u0151vebben<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":32,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"class_list":["post-292","page","type-page","status-publish"],"featured_image_src":null,"featured_image_src_square":null,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/pages\/292","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/comments?post=292"}],"version-history":[{"count":12,"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/pages\/292\/revisions"}],"predecessor-version":[{"id":775,"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/pages\/292\/revisions\/775"}],"up":[{"embeddable":true,"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/pages\/32"}],"wp:attachment":[{"href":"https:\/\/feb.ch.bme.hu\/index.php\/wp-json\/wp\/v2\/media?parent=292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}