Method to tailor a (cubic) four-parameter equation of state to a reference thermodynamic property formulation. Application to water, argon, and propane.

Method to tailor a (cubic) four-parameter equation of state to a reference thermodynamic property formulation. Application to water, argon, and propane. | 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 Method to tailor a (cubic) four-parameter equation of state to a reference thermodynamic property formulation. Application to water, argon, and propane. Jan Hrubý, Aleš Blahut This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8253115/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 03 Feb, 2026 Read the published version in International Journal of Thermophysics → Version 1 posted 9 You are reading this latest preprint version Abstract Multiparameter equations of state (MP EOSs) are available for many fluids. Despite their accuracy, they are not suitable for all applications. In contrast to MP EOSs, cubic equations offer a Van der Waals loop with a single inflection, which is suitable for modeling phase interfaces. They are also amiable for modeling mixtures. We present a method of tailoring a cubic equation of state to a MP EOS. Four temperature-dependent parameters of the previously developed Generalized 4-Parameter Cubic Equation of State (G4C EOS) are matched to the second virial coefficient, liquid density, compressibility, and Gibbs energy. Consequently, the G4C EOS is more accurate than conventional cubic equations of state. The liquid properties are matched along a ''sew-on line'', which coincides with the saturated liquid density at lower reduced temperatures and bypasses the critical region. The method is tested for argon, propane, and water. The range of temperatures in which the parameters of G4C EOS can be determined (feasibility interval) covers the validity range of the reference MP EOS with exception for water, where the high-temperature limit is 754 K or 909 K depending on the variant of data used for the second virial coefficient. Parameters of the G4C~EOS and ideal gas properties are tabulated in the Supplementary Information and an interpolation scheme is provided. All thermodynamic properties can be computed for the tested fluids with provided relations and tables. Since the method has been successfully applied to three fluids with very different molecular interactions, we assume that it is applicable to a wide range of fluids. It can also be used to other equations of state with four temperature-dependent parameters. Cubic equation of state Thermodynamic properties Metastable states Van der Waals loop Virial coeffcient Argon Propane Water Full Text Additional Declarations No competing interests reported. Supplementary Files HrubyBlahutG4CsewonSI.zip Cite Share Download PDF Status: Published Journal Publication published 03 Feb, 2026 Read the published version in International Journal of Thermophysics → Version 1 posted Editorial decision: Revision requested 17 Dec, 2025 Reviews received at journal 16 Dec, 2025 Reviews received at journal 11 Dec, 2025 Reviewers agreed at journal 04 Dec, 2025 Reviewers agreed at journal 02 Dec, 2025 Reviewers invited by journal 02 Dec, 2025 Editor assigned by journal 02 Dec, 2025 Submission checks completed at journal 02 Dec, 2025 First submitted to journal 01 Dec, 2025 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-8253115","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":554235557,"identity":"67ae2349-1971-423c-ba98-d4e1c18035d5","order_by":0,"name":"Jan Hrubý","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAr0lEQVRIiWNgGAWjYBACAwYGNgaGCgmStZyRIEEPWAtjGwMJWsylz5g95p1nUcfAfvjxB4aaOsJaLPtyzI15twEdxpNmJsFwjI0Ih53hMZMGa5FgMGNgbOAhVssckBb2zx8YG4jwE0RLA0gLj4EEY4MBMVrYyg3nHJOQbOPJKZNIOJZAjBbmbQ/e1NTx87Mf3/zhAzEhBgJMID+Dg4oIOyCA8QexKkfBKBgFo2BkAgD5SCnw28ne4QAAAABJRU5ErkJggg==","orcid":"","institution":"Institute of Thermomechanics","correspondingAuthor":true,"prefix":"","firstName":"Jan","middleName":"","lastName":"Hrubý","suffix":""},{"id":554235558,"identity":"eff3b053-d4b8-4780-a9e1-e782bcd75b43","order_by":1,"name":"Aleš Blahut","email":"","orcid":"","institution":"Institute of Thermomechanics","correspondingAuthor":false,"prefix":"","firstName":"Aleš","middleName":"","lastName":"Blahut","suffix":""}],"badges":[],"createdAt":"2025-12-01 18:08:11","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8253115/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8253115/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10765-026-03705-x","type":"published","date":"2026-02-03T15:57:51+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":97409572,"identity":"5a0f2570-5a62-4492-8d06-271756ee7d19","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"json","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4801,"visible":true,"origin":"","legend":"","description":"","filename":"60df911ea0054acf9dea6b9f4d918b21.json","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/523d226aa48b8cc3b23e378e.json"},{"id":97409570,"identity":"ddfa1d62-5343-4b22-a463-00d1c17b217b","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":19722,"visible":true,"origin":"","legend":"","description":"","filename":"CArG4Cepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/83a0ed4d17ae8c384ab6fc85.pdf"},{"id":97667317,"identity":"9a9ce439-1d4e-4ecd-8f39-b54907bbbedf","added_by":"auto","created_at":"2025-12-08 09:23:14","extension":"eps","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":171138,"visible":true,"origin":"","legend":"","description":"","filename":"CArG4C.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/5770aadef0d84d3f1b018a13.eps"},{"id":97409571,"identity":"22783606-37c7-4673-8c1c-f84270a1ff3f","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":15404,"visible":true,"origin":"","legend":"","description":"","filename":"CH2OG4Cepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/ca0a194a5e60e3b1dbec1566.pdf"},{"id":97666304,"identity":"7372d672-15f0-432e-abc7-14cfc75f1615","added_by":"auto","created_at":"2025-12-08 09:20:57","extension":"eps","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":139847,"visible":true,"origin":"","legend":"","description":"","filename":"CH2OG4C.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/f02971facc5c55b5ce9270c2.eps"},{"id":97666200,"identity":"9841d24e-b59b-4753-ab33-e9a53616fcb6","added_by":"auto","created_at":"2025-12-08 09:20:37","extension":"zip","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":269339,"visible":true,"origin":"","legend":"","description":"","filename":"HrubyBlahutG4CsewonSI.zip","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/941bddba7f8eb55623fb6f29.zip"},{"id":97667158,"identity":"dbcd20ab-3c0b-412e-bcde-ac26e928c125","added_by":"auto","created_at":"2025-12-08 09:22:55","extension":"pdf","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1909627,"visible":true,"origin":"","legend":"","description":"","filename":"HrubyBlahutG4CsewonSUBMISSION1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/e24dfe82716508e8e8c549be.pdf"},{"id":97409608,"identity":"53ca9443-64ad-4854-965c-0a907444ec56","added_by":"auto","created_at":"2025-12-04 04:59:39","extension":"pdf","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":77444,"visible":true,"origin":"","legend":"","description":"","filename":"SewOnpropaneepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/94cf9cb7f1793f1ee37263ad.pdf"},{"id":97409579,"identity":"d4bf77b2-c2a4-4593-a9db-5d850854a7bd","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"eps","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":303502,"visible":true,"origin":"","legend":"","description":"","filename":"SewOnpropane.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/d051d7400e780d654b7b4906.eps"},{"id":97666335,"identity":"c248db78-d23f-4b6d-b3d6-9a0ff6bd2003","added_by":"auto","created_at":"2025-12-08 09:21:01","extension":"pdf","order_by":9,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":70877,"visible":true,"origin":"","legend":"","description":"","filename":"SewOnwaterepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/3a1430780fc38f9fc7ddb8fa.pdf"},{"id":97665979,"identity":"16e7a856-7f6c-45f5-93c6-8f8532b0eb11","added_by":"auto","created_at":"2025-12-08 09:20:12","extension":"eps","order_by":10,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":288222,"visible":true,"origin":"","legend":"","description":"","filename":"SewOnwater.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/7242274cce75b9aaa67178d2.eps"},{"id":97409576,"identity":"257037a2-7bc4-41b9-b91d-b794835966ba","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":11,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":19229,"visible":true,"origin":"","legend":"","description":"","filename":"VLEC3H8G4Cepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/aa80b842fd308d8f2ac36aef.pdf"},{"id":97409582,"identity":"4c61c43b-acc8-423a-bcfe-5c3fe1cbbedf","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"eps","order_by":12,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":167683,"visible":true,"origin":"","legend":"","description":"","filename":"VLEC3H8G4C.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/79711e984c32e123614c89fd.eps"},{"id":97409592,"identity":"671781db-8a68-4a60-b121-4c1b4b1a2c93","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":13,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":23506,"visible":true,"origin":"","legend":"","description":"","filename":"VLEH2OG4Cepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/d93dd787cef46e5712e5578d.pdf"},{"id":97666307,"identity":"3277b9d3-9fa4-41b0-b29e-03875c5b21ba","added_by":"auto","created_at":"2025-12-08 09:20:58","extension":"eps","order_by":14,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":178954,"visible":true,"origin":"","legend":"","description":"","filename":"VLEH2OG4C.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/1f87152d41e1e313c5b3e7f3.eps"},{"id":97409607,"identity":"ee2eeba6-2c39-424b-ba4d-01fa1727943c","added_by":"auto","created_at":"2025-12-04 04:59:38","extension":"pdf","order_by":15,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":280548,"visible":true,"origin":"","legend":"","description":"","filename":"argonB2errormapepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/008102a82e015b1276031007.pdf"},{"id":97665807,"identity":"d4584ce9-f918-447a-abe0-855ae38a502e","added_by":"auto","created_at":"2025-12-08 09:19:39","extension":"eps","order_by":16,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":665834,"visible":true,"origin":"","legend":"","description":"","filename":"argonB2errormap.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/c297772f6e90ee06af196b0f.eps"},{"id":97409594,"identity":"2518ef23-0a77-4d77-9ac7-dea1ce626756","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":17,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":182664,"visible":true,"origin":"","legend":"","description":"","filename":"argonB2errormapdetailepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/32970bc536b784971062a70f.pdf"},{"id":97409587,"identity":"121929cc-4c52-431b-a904-d42fe29e740f","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"eps","order_by":18,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":465530,"visible":true,"origin":"","legend":"","description":"","filename":"argonB2errormapdetail.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/2984e2e5af226a90c64f318e.eps"},{"id":97665690,"identity":"4719c1db-3680-49c4-8378-57ab152e94fe","added_by":"auto","created_at":"2025-12-08 09:19:25","extension":"pdf","order_by":19,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":94549,"visible":true,"origin":"","legend":"","description":"","filename":"argonG4CV2epsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/1dd89b3cd921262337000e4b.pdf"},{"id":97666706,"identity":"663e5094-966b-4dc9-8a6c-a3e4bfc66aba","added_by":"auto","created_at":"2025-12-08 09:21:56","extension":"eps","order_by":20,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":321924,"visible":true,"origin":"","legend":"","description":"","filename":"argonG4CV2.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/14ef7dbb28d51dd5e69e39f9.eps"},{"id":97409581,"identity":"e0130057-ce94-4b1e-917c-63b31481fcef","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":21,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":25066,"visible":true,"origin":"","legend":"","description":"","filename":"betasvstauG4Cargonepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/2f8bfb4b9792ad9e948767fb.pdf"},{"id":97666372,"identity":"8da8b12e-ab04-459e-98d1-8e5a8e408f8b","added_by":"auto","created_at":"2025-12-08 09:21:04","extension":"eps","order_by":22,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":181599,"visible":true,"origin":"","legend":"","description":"","filename":"betasvstauG4Cargon.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/0ea59941d7706f3d8c2e1160.eps"},{"id":97409596,"identity":"1553b0ba-72d9-4fa2-900a-23acb425ef21","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":23,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":23982,"visible":true,"origin":"","legend":"","description":"","filename":"betasvstauG4Cpropaneepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/e273a5dd3b1129a130d59347.pdf"},{"id":97409600,"identity":"699b02d0-225e-4769-a4dd-fd23d1e34774","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"eps","order_by":24,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":179255,"visible":true,"origin":"","legend":"","description":"","filename":"betasvstauG4Cpropane.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/51c4abed3db4ee041ced3206.eps"},{"id":97409588,"identity":"168f2b3f-9e97-49fa-b398-2b99e1a587eb","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":25,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":20743,"visible":true,"origin":"","legend":"","description":"","filename":"betasvstauG4Cwaterepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/9c11cdf90486d1cd3284bd98.pdf"},{"id":97667315,"identity":"802e49b5-8120-4a18-bec3-909ffc8a3858","added_by":"auto","created_at":"2025-12-08 09:23:14","extension":"eps","order_by":26,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":173288,"visible":true,"origin":"","legend":"","description":"","filename":"betasvstauG4Cwater.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/4668e7a6ff014d8f37b163a4.eps"},{"id":97409604,"identity":"003e4b2e-2dc7-4cdc-920e-6f9c3a48365f","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":27,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":129896,"visible":true,"origin":"","legend":"","description":"","filename":"coverletterjhabsewon2025.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/3403e88bae1390ed56f363cb.pdf"},{"id":97667491,"identity":"34a8144a-4e84-46e6-b59c-499bfe0005f5","added_by":"auto","created_at":"2025-12-08 09:23:39","extension":"pdf","order_by":28,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":12842,"visible":true,"origin":"","legend":"","description":"","filename":"deDG4Cwaterepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/6e4de1cb16c7f09497a11bfa.pdf"},{"id":97666762,"identity":"4244375e-4e8b-4db5-bb03-91d9d5c48bd3","added_by":"auto","created_at":"2025-12-08 09:22:04","extension":"eps","order_by":29,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":186177,"visible":true,"origin":"","legend":"","description":"","filename":"deDG4Cwater.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/ec765d00b1f713dc7c91c540.eps"},{"id":97409602,"identity":"c2fcaaa5-754f-4ecc-a388-23fd4b118224","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"bst","order_by":30,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":30423,"visible":true,"origin":"","legend":"","description":"","filename":"snaps.bst","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/1453a1be1dd493e3d58944b9.bst"},{"id":97409601,"identity":"d999e8c8-11b2-4265-9d57-85e1a16ecbfc","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"cls","order_by":31,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":55331,"visible":true,"origin":"","legend":"","description":"","filename":"snjnl.cls","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/8f0de043c74655eb0b9319d5.cls"},{"id":97665733,"identity":"e84bf805-80ca-4a99-b82c-4dcc73ef79ef","added_by":"auto","created_at":"2025-12-08 09:19:30","extension":"pdf","order_by":32,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":635312,"visible":true,"origin":"","legend":"","description":"","filename":"waterB2errormapepsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/fe837a8f0671436bb47ad49e.pdf"},{"id":97409603,"identity":"4db95085-dba3-42a3-a303-04583185c31a","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"eps","order_by":33,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1431886,"visible":true,"origin":"","legend":"","description":"","filename":"waterB2errormap.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/9834174cfe1082d974a69928.eps"},{"id":97409598,"identity":"3d74aeb6-737c-4a40-8be2-c747a1dbfeb4","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"pdf","order_by":34,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":101898,"visible":true,"origin":"","legend":"","description":"","filename":"waterG4CV2epsconvertedto.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/cfcf76c5423967d9fb170cab.pdf"},{"id":97409606,"identity":"192fe18f-be0b-4bd4-9ecb-3326cc230430","added_by":"auto","created_at":"2025-12-04 04:59:16","extension":"eps","order_by":35,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":326147,"visible":true,"origin":"","legend":"","description":"","filename":"waterG4CV2.eps","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/8c817d2983d383c54bf1b0ba.eps"},{"id":97409599,"identity":"e903f3a2-d5e1-4764-804f-7f5474e0258e","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"xml","order_by":36,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":138805,"visible":true,"origin":"","legend":"","description":"","filename":"60df911ea0054acf9dea6b9f4d918b211structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/0f782ced6d31765fbb9b6829.xml"},{"id":102234742,"identity":"47aba553-b4ec-41aa-90a9-774d12e96e04","added_by":"auto","created_at":"2026-02-09 16:13:09","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1803936,"visible":true,"origin":"","legend":"","description":"","filename":"HrubyBlahutG4CsewonSUBMISSION1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1_covered_96dc12f9-0b40-4592-b86b-a50c68b7d2f8.pdf"},{"id":97409574,"identity":"71473947-9f29-4529-a9d4-f9cf4aa0b0c3","added_by":"auto","created_at":"2025-12-04 04:59:15","extension":"zip","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":269339,"visible":true,"origin":"","legend":"","description":"","filename":"HrubyBlahutG4CsewonSI.zip","url":"https://assets-eu.researchsquare.com/files/rs-8253115/v1/e85b1a5ed3747fbb957f8df6.zip"}],"financialInterests":"No competing interests reported.","formattedTitle":"\n\nMethod to tailor a (cubic) four-parameter equation of state to a reference thermodynamic property formulation. Application to water, argon, and propane.","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"international-journal-of-thermophysics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ijot","sideBox":"Learn more about [International Journal of Thermophysics](http://link.springer.com/journal/10765)","snPcode":"10765","submissionUrl":"https://submission.nature.com/new-submission/10765/3","title":"International Journal of Thermophysics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Cubic equation of state, Thermodynamic properties, Metastable states, Van der Waals loop, Virial coeffcient, Argon, Propane, Water","lastPublishedDoi":"10.21203/rs.3.rs-8253115/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8253115/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Multiparameter equations of state (MP EOSs) are available for many fluids. Despite their accuracy, they are not suitable for all applications.\nIn contrast to MP~EOSs, cubic equations offer a Van der Waals loop with a single inflection, which is suitable for modeling phase interfaces. They are also amiable for modeling mixtures.\nWe present a method of tailoring a cubic equation of state to a MP~EOS. Four temperature-dependent parameters of the previously developed Generalized 4-Parameter Cubic Equation of State (G4C~EOS) are matched to the second virial coefficient, liquid density, compressibility, and Gibbs energy.\nConsequently, the G4C~EOS is more accurate than conventional cubic equations of state.\nThe liquid properties are matched along a ''sew-on line'', which coincides with the saturated liquid density at lower reduced temperatures and bypasses the critical region.\nThe method is tested for argon, propane, and water.\nThe range of temperatures in which the parameters of G4C~EOS can be determined (feasibility interval) covers the validity range of the reference MP~EOS with exception for water, where the high-temperature limit is 754~K or 909~K depending on the variant of data used for the second virial coefficient.\nParameters of the G4C~EOS and ideal gas properties are tabulated in the Supplementary Information and an interpolation scheme is provided. All thermodynamic properties can be computed for the tested fluids with provided relations and tables.\nSince the method has been successfully applied to three fluids with very different molecular interactions, we assume that it is applicable to a wide range of fluids.\nIt can also be used to other equations of state with four temperature-dependent parameters.","manuscriptTitle":"Method to tailor a (cubic) four-parameter equation of state to a reference thermodynamic property formulation. Application to water, argon, and propane.","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-12-04 04:59:10","doi":"10.21203/rs.3.rs-8253115/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-12-17T17:40:18+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-12-16T21:11:22+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-12-11T11:15:52+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"120525032422997805163866052676765900767","date":"2025-12-04T12:36:23+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"181391209744734873679886000507901314912","date":"2025-12-02T17:59:36+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-12-02T11:59:32+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-12-02T07:57:00+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-12-02T07:56:50+00:00","index":"","fulltext":""},{"type":"submitted","content":"International Journal of Thermophysics","date":"2025-12-01T17:54:24+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"international-journal-of-thermophysics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ijot","sideBox":"Learn more about [International Journal of Thermophysics](http://link.springer.com/journal/10765)","snPcode":"10765","submissionUrl":"https://submission.nature.com/new-submission/10765/3","title":"International Journal of Thermophysics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"c47959b6-32b8-4b25-a3cc-00780f717e66","owner":[],"postedDate":"December 4th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2026-02-09T16:10:03+00:00","versionOfRecord":{"articleIdentity":"rs-8253115","link":"https://doi.org/10.1007/s10765-026-03705-x","journal":{"identity":"international-journal-of-thermophysics","isVorOnly":false,"title":"International Journal of Thermophysics"},"publishedOn":"2026-02-03 15:57:51","publishedOnDateReadable":"February 3rd, 2026"},"versionCreatedAt":"2025-12-04 04:59:10","video":"","vorDoi":"10.1007/s10765-026-03705-x","vorDoiUrl":"https://doi.org/10.1007/s10765-026-03705-x","workflowStages":[]},"version":"v1","identity":"rs-8253115","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8253115","identity":"rs-8253115","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}