{"id":6696,"date":"2021-12-10T02:46:24","date_gmt":"2021-12-10T01:46:24","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6696"},"modified":"2024-05-19T20:04:30","modified_gmt":"2024-05-19T19:04:30","slug":"how-to-calculate-and-solve-for-work-of-adhesion-between-solid-and-liquid-young-dupre-equation-i-mineral-processing","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/12\/10\/how-to-calculate-and-solve-for-work-of-adhesion-between-solid-and-liquid-young-dupre-equation-i-mineral-processing\/","title":{"rendered":"How to Calculate and Solve for Work of Adhesion between Solid and Liquid | Young-Dupre Equation I Mineral Processing"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the work of adhesion between solid and liquid. To calculate the work of adhesion between solid and liquid, two essential parameters are needed, and these parameters are Interfacial Tension between Liquid and Air (\u03b3LA<\/sub>) <\/strong>and Angle Interface (\u03b8).<\/strong><\/p>\n

The formula for calculating the work of adhesion between solid and liquid:<\/strong><\/h3>\n

WSL<\/sub> = \u03b3LA<\/sub>(cos\u03b8 + 1)<\/p>\n

Where:<\/p>\n

WSL<\/sub> = Work of Adhesion between Solid and Liquid | Young-Dupre Equation
\n\u03b3LA<\/sub> = Interfacial Tension between Liquid and Air
\n\u03b8 = Angle Interface<\/p>\n

Let’s solve an example;
\nFind the work of adhesion between solid and liquid when the interfacial tension between liquid and air is 44 and the angle interface is 11.<\/p>\n

This implies that;<\/p>\n

\u03b3LA<\/sub> = Interfacial Tension between Liquid and Air = 44
\n\u03b8 = Angle Interface = 11<\/p>\n

WSL<\/sub> = \u03b3LA<\/sub>(cos\u03b8 + 1)
\nWSL<\/sub> = 44(cos(11\u00b0) + 1)
\nThat is, WSL<\/sub> = 44(0.98 + 1)
\nWSL<\/sub> = 44(1.98)
\nWSL<\/sub> = 87.19<\/p>\n

Therefore, the work of adhesion between solid and liquid <\/strong>is 87.19 J.<\/strong><\/p>\n

Calculating the Interfacial Tension between Liquid and Air when the Work of Adhesion between Solid and Liquid and the Angle Interface are Given<\/strong><\/h3>\n

\u03b3LA<\/sub> = WSL<\/sub><\/sup> \/ (cos\u03b8 + 1)<\/sub><\/p>\n

Where:<\/p>\n

\u03b3LA<\/sub> = Interfacial Tension between Liquid and Air
\nWSL<\/sub> = Work of Adhesion between Solid and Liquid | Young-Dupre Equation
\n\u03b8 = Angle Interface<\/p>\n

Let’s solve an example;
\nFind the interfacial tension between liquid and air when the work of adhesion between solid and liquid is 44 and the angle interface is 11.<\/p>\n

This implies that;<\/p>\n

WSL<\/sub> = Work of Adhesion between Solid and Liquid | Young-Dupre Equation = 44
\n\u03b8 = Angle Interface = 11<\/p>\n

\u03b3LA<\/sub> = WSL<\/sub><\/sup> \/ (cos\u03b8 + 1)<\/sub>
\nSo, \u03b3LA<\/sub> = 44<\/sup> \/ (cos11 + 1)<\/sub>
\n\u03b3LA<\/sub> = 44<\/sup> \/ 1.98<\/sub>
\n\u03b3LA<\/sub> = 22.2<\/p>\n

Therefore, the interfacial tension between liquid and air <\/strong>is 22.2.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Work of Adhesion per Unit Area for Flotation | Mineral Processing<\/a><\/p>\n

Calculating the Angle Interface when the Work of Adhesion between Solid and Liquid and the Interfacial Tension between Liquid and Air are Given<\/strong><\/h3>\n

\u03b8 = cos-1<\/sup>(WSL<\/sub><\/sup> \/ \u03b3LA<\/sub><\/sub> – 1)<\/p>\n

Where:<\/p>\n

\u03b8 = Angle Interface
\nWSL<\/sub> = Work of Adhesion between Solid and Liquid | Young-Dupre Equation
\n\u03b3LA<\/sub> = Interfacial Tension between Liquid<\/p>\n

Let’s solve an example;
\nFind the angle interface when the work of adhesion between solid and liquid is 8 and the interfacial tension between liquid is 4.<\/p>\n

This implies that;<\/p>\n

WSL<\/sub> = Work of Adhesion between Solid and Liquid | Young-Dupre Equation = 8
\n\u03b3LA<\/sub> = Interfacial Tension between Liquid = 4<\/p>\n

\u03b8 = cos-1<\/sup>(WSL<\/sub><\/sup> \/ \u03b3LA<\/sub><\/sub> – 1)
\n\u03b8 = cos-1<\/sup>(8<\/sup> \/ 4<\/sub> – 1)
\nThat is, \u03b8 = cos-1<\/sup>(2 – 1)
\n\u03b8 = cos-1<\/sup>1
\n\u03b8 = 0<\/p>\n

Therefore, the angle interface <\/strong>is 0.<\/strong><\/p>\n

How to Calculate Work of Adhesion between Solid and Liquid | Young-Dupre Equation Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the work of adhesion between solid and liquid.<\/p>\n

\n

To get the answer and workings of the work of adhesion between solid and liquid using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe <\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on Mineral Processing <\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Work of Adhesion between Solid and Liquid<\/strong> under Mineral Processing<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the work of adhesion between solid and liquid according to the respective parameter which is the Interfacial Tension between Liquid and Air (\u03b3LA<\/sub>) <\/strong>and Angle Interface (\u03b8).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0Interfacial Tension between Liquid and Air (\u03b3LA<\/sub>)<\/strong> is 44 <\/strong>and Angle Interface (\u03b8)<\/strong> is 11<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the work of adhesion between solid and liquid and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the work of adhesion between solid and liquid. To calculate the work of adhesion…","protected":false},"author":5,"featured_media":15443,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[1901,60,1900,543,1823,1902],"class_list":["post-6696","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-angle-interface","tag-engineering","tag-interfacial-tension-between-liquid-and-air","tag-materials-and-metallurgical","tag-mineral-processing","tag-work-of-adhesion-between-solid-and-liquid","cs-entry"],"yoast_head":"\nHow 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