Deriving Full-Range Vapor Pressure Equation and Acentric Factor from Boiling Point, and Estimation of Critical Pressure

Deriving Full-Range Vapor Pressure Equation and Acentric Factor from Boiling Point, and Estimation of Critical Pressure | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Deriving Full-Range Vapor Pressure Equation and Acentric Factor from Boiling Point, and Estimation of Critical Pressure Jai-yeop Lee This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2629742/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In a vapor pressure equation in the form of the Antoine equation, A and B can be expressed as van der Waals constants. If C is defined as c by dividing it into gas constant and critical temperature, c can be expressed as a function in the form of a third-degree polynomial of reduced temperature. Using this, the vapor pressure of full-range temperature can be calculated. The c function is third-degree polynomial, but since the values are known at absolute zero and critical points, there are two required coefficients. Using the characteristics of the c function, a full-range vapor pressure equation can be derived from only one vapor pressure data such as boiling point, and acentric factor can be obtained, and critical pressure estimated. For 32 substances including 6 elements, this method was applied to estimate the full-range vapor pressure, acentric factor, and critical pressure from only the boiling point data, and the results were compared with actual data. In addition, it was applied to 16 elements to derive a full-range vapor pressure equation. Using the characteristics of local minimum point, the critical pressures of unknown elements like phosphorous, arsenic, and gold could be estimated in addition to the 21 elements whose critical pressures were previously known. Vapor pressure Antoine equation acentric factor critical pressure van der Waals equation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-2629742","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":179594831,"identity":"d443c8c9-c921-4193-913e-89cbf4bfedb1","order_by":0,"name":"Jai-yeop Lee","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5UlEQVRIiWNgGAWjYHACxgdAIoGfh7EBwuchrIXZgIHBIEGyB6jlAJFa2CRAWgzOAJlEaTFnP/5A6mbbnzzjM4cbP39guCfHwHP2AV4tlj05Bsa5bQbFZmcbmyUOMBQbM/C2G+DVYnAghyEZqCVx23nGNqDDEhIb+NnwO8zg/PMHh0FaNvdDtNQT1nIjwbAZpGUDbyNYSwIDbxt+LZYz3hgz55wzTpxx5mCzxBmDBMM2nmP4tZjzpz//nVMml9jfk/7wQ0VFgjw/TxoBh4EIRjYkLgGfQLUw/CGkbBSMglEwCkY0AAAFT0ZDLUxJuwAAAABJRU5ErkJggg==","orcid":"","institution":"Korea Institute of Civil Engineering and Building Technology","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Jai-yeop","middleName":"","lastName":"Lee","suffix":""}],"badges":[],"createdAt":"2023-02-26 08:14:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2629742/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2629742/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":37701666,"identity":"5eb0abeb-74c1-45b7-92cf-5f84a96acbdf","added_by":"auto","created_at":"2023-05-30 20:29:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":463525,"visible":true,"origin":"","legend":"","description":"","filename":"Draft230117.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2629742/v1_covered_7dc80590-95e7-4d6f-ad64-bde4d1b70ada.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Deriving Full-Range Vapor Pressure Equation and Acentric Factor from Boiling Point, and Estimation of Critical Pressure","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Vapor pressure, Antoine equation, acentric factor, critical pressure, van der Waals equation ","lastPublishedDoi":"10.21203/rs.3.rs-2629742/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2629742/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn a vapor pressure equation in the form of the Antoine equation, \u003cem\u003eA\u003c/em\u003e and \u003cem\u003eB\u003c/em\u003e can be expressed as van der Waals constants. If \u003cem\u003eC\u003c/em\u003e is defined as \u003cem\u003ec\u003c/em\u003e by dividing it into gas constant and critical temperature, \u003cem\u003ec\u003c/em\u003e can be expressed as a function in the form of a third-degree polynomial of reduced temperature. Using this, the vapor pressure of full-range temperature can be calculated. The \u003cem\u003ec\u003c/em\u003e function is third-degree polynomial, but since the values are known at absolute zero and critical points, there are two required coefficients. Using the characteristics of the \u003cem\u003ec\u003c/em\u003e function, a full-range vapor pressure equation can be derived from only one vapor pressure data such as boiling point, and acentric factor can be obtained, and critical pressure estimated. For 32 substances including 6 elements, this method was applied to estimate the full-range vapor pressure, acentric factor, and critical pressure from only the boiling point data, and the results were compared with actual data. 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