{"id":5835,"date":"2021-08-01T16:02:18","date_gmt":"2021-08-01T15:02:18","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5835"},"modified":"2024-05-10T13:26:50","modified_gmt":"2024-05-10T12:26:50","slug":"how-to-calculate-and-solve-for-permeation-mass-transfer","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/08\/01\/how-to-calculate-and-solve-for-permeation-mass-transfer\/","title":{"rendered":"How to Calculate and Solve for Permeation | Mass Transfer"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents permeation. To calculate permeation, six essential parameters are needed and these parameters are Length of Vessel (L), Diameter (D), Initial Concentration (c1<\/sub>), Final Concentration (c2<\/sub>), Inlet Radius of Pipe (r1<\/sub>)\u00a0<\/strong>and Exit Radius of Pipe (r2<\/sub>).<\/strong><\/p>\n

The formula for calculating permeation:<\/strong><\/h3>\n

j = -2\u03c0LD (c1<\/sub>\u00a0– c2<\/sub><\/sup>\u00a0\/\u00a0In(r1<\/sup>\/r2)<\/sub>)<\/p>\n

Where:<\/p>\n

j = Permeation
\nL = Length of Vessel
\nD = Diameter
\nc1<\/sub>\u00a0= Initial Concentration
\nc2<\/sub>\u00a0= Final Concentration
\nr1<\/sub>\u00a0= Inlet Radius of Pipe
\nr2<\/sub>\u00a0= Exit Radius of Pipe<\/p>\n

Let’s solve an example;
\nFind the permeation when the length of vessel is 8, the diameter is 2, the initial concentration is 4, the final concentration is 9, the inlet radius of pipe is 13 and the exit radius of pipe is 11.<\/p>\n

This implies that;<\/p>\n

L = Length of Vessel = 8
\nD = Diameter = 2
\nc1<\/sub> = Initial Concentration = 4
\nc2<\/sub> = Final Concentration = 9
\nr1<\/sub> = Inlet Radius of Pipe = 13
\nr2<\/sub> = Exit Radius of Pipe = 11<\/p>\n

j = -2\u03c0LD (c1<\/sub>\u00a0– c2<\/sub><\/sup>\u00a0\/\u00a0In(r1<\/sup>\/r2)<\/sub>)
\nSo, j = -2\u03c0(8)(2) (4 – 9<\/sup>\/In(13<\/sup>\/11)<\/sub>)
\nj = (-100.53) (-5<\/sup>\/In(1.18)<\/sub>)
\nj = (-100.53) (-5<\/sup>\/0.167<\/sub>)
\nThen, j = (-100.53) (-29.93)
\nj = 3008.9<\/p>\n

Therefore, the\u00a0permeation\u00a0<\/strong>is\u00a03008.9 m\u00b2.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Permeability due to Partial Pressure | Mass Transfer<\/a><\/p>\n

How to Calculate Permeation in Mass Transfer Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the permeation.<\/p>\n

\n

To get the answer and workings of the permeation 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\u00a0<\/strong>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to 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\u00a0Mass Transport\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Permeation <\/strong>under\u00a0Mass Transport<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the permeation according to the respective parameter which is the Length of Vessel (L), Diameter (D), Initial Concentration (c1<\/sub>), Final Concentration (c2<\/sub>), Inlet Radius of Pipe (r1<\/sub>)\u00a0<\/strong>and Exit Radius of Pipe (r2<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Length of Vessel (L)<\/strong> is 8<\/strong>, Diameter (D)<\/strong> is 2<\/strong>, Initial Concentration (c1<\/sub>)<\/strong> is 4<\/strong>, Final Concentration (c2<\/sub>)<\/strong> is 9<\/strong>, Inlet Radius of Pipe (r1<\/sub>)<\/strong> is 13 <\/strong>and Exit Radius of Pipe (r2<\/sub>)<\/strong> is 11<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the permeation and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents permeation. To calculate permeation, six essential parameters are needed and these parameters are Length…","protected":false},"author":5,"featured_media":14995,"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":[323,60,1664,1662,1661,1663,1660,1635,543,1665],"class_list":["post-5835","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-diameter","tag-engineering","tag-exit-radius-of-pipe","tag-final-concentration","tag-initial-concentration","tag-inlet-radius-of-pipe","tag-length-of-vessel","tag-mass-transfer","tag-materials-and-metallurgical","tag-permeation","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Permeation | Mass Transfer<\/title>\n<meta name=\"description\" content=\"Here is How to Calculate and Solve for Permeation | Mass Transfer. 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