{"id":6581,"date":"2021-12-07T01:01:57","date_gmt":"2021-12-07T00:01:57","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6581"},"modified":"2024-05-19T14:15:10","modified_gmt":"2024-05-19T13:15:10","slug":"how-to-calculate-and-solve-for-work-of-adhesion-per-unit-area-for-flotation-mineral-processing","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/12\/07\/how-to-calculate-and-solve-for-work-of-adhesion-per-unit-area-for-flotation-mineral-processing\/","title":{"rendered":"How to Calculate and Solve for Work of Adhesion per Unit Area for Flotation | Mineral Processing"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents work of adhesion per unit area for flotation. To calculate work of adhesion per unit area for flotation, three essential parameters are needed and these parameters are Surface Tension of Particle A, (\u03b3A<\/sub>), Surface Tension of Particle B, (\u03b3B<\/sub>) and Surface Tension Existing between A<\/strong> and B, (\u03b3AB<\/sub>).<\/strong><\/p>\n

The formula for calculating work of adhesion per unit area for flotation:<\/strong><\/h3>\n

WAB<\/sub> = (\u03b3A<\/sub> + \u03b3B<\/sub>) – \u03b3AB<\/sub><\/p>\n

Where:<\/p>\n

WAB<\/sub> = Work of Adhesion per Unit Area for Flotation
\n\u03b3A<\/sub> = Surface Tension of Particle A
\n\u03b3B<\/sub> = Surface Tension of Particle B
\nAnd then, \u03b3AB<\/sub> = Surface Tension Existing between A and B<\/p>\n

Let’s solve an example;
\nFind the work of adhesion per unit area for flotation when the surface tension of particle is 9, the surface tension of particle is 4 and the surface tension existing between A and B is 2.<\/p>\n

This implies that;<\/p>\n

\u03b3A<\/sub> = Surface Tension of Particle A = 9
\n\u03b3B<\/sub> = Surface Tension of Particle B = 4
\nAnd then, \u03b3AB<\/sub> = Surface Tension Existing between A and B = 2<\/p>\n

WAB<\/sub> = (\u03b3A<\/sub> + \u03b3B<\/sub>) – \u03b3AB<\/sub>
\nThat is, WAB<\/sub> = (9 + 4) – 2
\nWAB<\/sub> = (13) – 2
\nWAB<\/sub> = 11<\/p>\n

Therefore, the work of adhesion per unit area for flotation <\/strong>is 11 J.<\/strong><\/p>\n

Calculating the Surface Tension of Particle A when the Work of Adhesion per Unit Area for Flotation, the Surface Tension of Particle B and the Surface Tension Existing between A and B are Given.<\/strong><\/h3>\n

\u03b3A<\/sub> = WAB<\/sub> + \u03b3AB<\/sub> – \u03b3B<\/sub><\/p>\n

Where:<\/p>\n

\u03b3A<\/sub> = Surface Tension of Particle A
\nWAB<\/sub> = Work of Adhesion per Unit Area for Flotation
\n\u03b3B<\/sub> = Surface Tension of Particle B
\n\u03b3AB<\/sub> = Surface Tension Existing between A and B<\/p>\n

Let’s solve an example;
\nFind the surface tension of particle A when the work of adhesion per unit area for flotation is 42, the surface tension of particle B is 10 and the surface tension existing between A and B is 8.<\/p>\n

This implies that;<\/p>\n

WAB<\/sub> = Work of Adhesion per Unit Area for Flotation = 42
\n\u03b3B<\/sub> = Surface Tension of Particle B = 10
\n\u03b3AB<\/sub> = Surface Tension Existing between A and B = 8<\/p>\n

That is, \u03b3A<\/sub> = WAB<\/sub> + \u03b3AB<\/sub> – \u03b3B<\/sub>
\n\u03b3A<\/sub> = 42 + 8 – 10
\n\u03b3A<\/sub> = 40<\/p>\n

Therefore, the surface tension of particle a <\/strong>is 40.<\/strong><\/p>\n

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

Calculating the Surface Tension of Particle B when the Work of Adhesion per Unit Area for Flotation, the Surface Tension of Particle A and the Surface Tension Existing between A and B are Given<\/strong><\/h3>\n

\u03b3B<\/sub> = WAB<\/sub> + \u03b3AB<\/sub> – \u03b3A<\/sub><\/p>\n

Where:<\/p>\n

\u03b3B<\/sub> = Surface Tension of Particle B
\nWAB<\/sub> = Work of Adhesion per Unit Area for Flotation
\n\u03b3A<\/sub> = Surface Tension of Particle A
\n\u03b3AB<\/sub> = Surface Tension Existing between A and B<\/p>\n

Let’s solve an example;
\nFind the surface tension of particle B when the work of adhesion per unit area for flotation is 25, the surface tension of particle A is 12 and the surface tension existing between A and B is 10.<\/p>\n

This implies that;<\/p>\n

WAB<\/sub> = Work of Adhesion per Unit Area for Flotation = 25
\n\u03b3A<\/sub> = Surface Tension of Particle A = 12
\n\u03b3AB<\/sub> = Surface Tension Existing between A and B = 10<\/p>\n

That is, \u03b3B<\/sub> = WAB<\/sub> + \u03b3AB<\/sub> – \u03b3A
\n<\/sub>\u03b3B<\/sub> = 25 + 10 – 12
\n\u03b3B<\/sub> = 23<\/p>\n

Therefore, the surface tension of particle B <\/strong>is 23.<\/strong><\/p>\n

Calculating the Surface Tension Existing between A and B when the Work of Adhesion per Unit Area for Flotation, the Surface Tension of Particle A and the Surface Tension of Particle B are Given<\/strong><\/h3>\n

\u03b3AB<\/sub> = \u03b3A<\/sub> + \u03b3B<\/sub> – WAB<\/sub><\/p>\n

Where:<\/p>\n

\u03b3AB<\/sub> = Surface Tension Existing between A and B
\nWAB<\/sub> = Work of Adhesion per Unit Area for Flotation
\n\u03b3A<\/sub> = Surface Tension of Particle A
\n\u03b3B<\/sub> = Surface Tension of Particle B<\/p>\n

Let’s solve an example;
\nFind the surface tension existing between A and B when the work of adhesion per unit area for flotation is 10, the surface tension of particle A is 20 and the surface tension of particle B is 14.<\/p>\n

This implies that;<\/p>\n

WAB<\/sub> = Work of Adhesion per Unit Area for Flotation = 10
\n\u03b3A<\/sub> = Surface Tension of Particle A = 20
\n\u03b3B<\/sub> = Surface Tension of Particle B = 14<\/p>\n

So, \u03b3AB<\/sub> = \u03b3A<\/sub> + \u03b3B<\/sub> – WAB<\/sub>
\n\u03b3AB<\/sub> = 20 + 14 – 10
\n\u03b3AB<\/sub> = 24<\/p>\n

Therefore, the surface tension existing between A and B <\/strong>is 24.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Infinitesimal Change in Surface Tension | Gas Absorption | Mineral Processing<\/a><\/p>\n

How to Calculate Work of Adhesion per Unit Area for Flotation With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the work adhesion per unit area for flotation.<\/p>\n

\n

To get the answer and workings of the work adhesion per unit area for flotation 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 Adhesion per Unit Area for Flotation<\/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 adhesion per unit area for flotation according to the respective parameter which is the\u00a0Surface Tension of Particle A, (\u03b3A<\/sub>), Surface Tension of Particle B, (\u03b3B<\/sub>) and Surface Tension Existing between A and B, (\u03b3AB<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0Surface Tension of Particle A, (\u03b3A<\/sub>)<\/strong> is 9<\/strong>, Surface Tension of Particle B, (\u03b3B<\/sub>)<\/strong> is\u00a04<\/strong> and Surface Tension Existing between A<\/strong> and B, (\u03b3AB<\/sub>)<\/strong> is 2<\/strong>.
\n<\/strong><\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the work adhesion per unit area for flotation and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents work of adhesion per unit area for flotation. To calculate work of adhesion per…","protected":false},"author":5,"featured_media":15355,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Work Adhesion per Unit Area Flotation","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn all the steps and the formula on How to Calculate Work of Adhesion per Unit Area for Flotation in Mineral Processing problems.","_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":""},"categories":[47],"tags":[60,543,1823,1869,1867,1868,1870],"class_list":["post-6581","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-materials-and-metallurgical","tag-mineral-processing","tag-surface-tension-existing-between-a-and-b","tag-surface-tension-of-particle-a","tag-surface-tension-of-particle-b","tag-work-adhesion-per-unit-area","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Work of Adhesion per Unit Area for Flotation | Mineral Processing<\/title>\n<meta name=\"description\" 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