{"id":5834,"date":"2021-08-01T14:11:27","date_gmt":"2021-08-01T13:11:27","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5834"},"modified":"2024-05-10T13:07:07","modified_gmt":"2024-05-10T12:07:07","slug":"how-to-calculate-and-solve-for-permeability-due-to-partial-pressure-mass-transfer","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/08\/01\/how-to-calculate-and-solve-for-permeability-due-to-partial-pressure-mass-transfer\/","title":{"rendered":"How to Calculate and Solve for Permeability due to Partial Pressure | Mass Transfer"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents permeability due to partial pressure. To calculate permeability due to partial pressure, three essential parameters are needed and these parameters are Diffusion Coefficient (D), Constant (K)\u00a0<\/strong>and Partial Pressure (Po<\/sub>).<\/strong><\/p>\n

The formula for calculating permeability due to partial pressure:<\/strong><\/h3>\n

P =\u00a0DK<\/sup>\u00a0\/\u00a0\u221a(Po)<\/sub><\/p>\n

Where:<\/p>\n

P = Permeability due to Partial Pressure
\nD = Diffusion Coefficient
\nK = Constant
\nPo = Partial Pressure<\/p>\n

Let’s solve an example;
\nFind the permeability due to partial pressure when the diffusion coefficient is 12, the constant is 14 and the partial pressure is 17.<\/p>\n

This implies that;<\/p>\n

D = Diffusion Coefficient = 12
\nK = Constant = 14
\nPo = Partial Pressure = 17<\/p>\n

P =\u00a0DK<\/sup>\u00a0\/\u00a0\u221a(Po)<\/sub>
\nThat is, P = (12)(14)<\/sup>\u00a0\/\u00a0\u221a(17)<\/sub>
\nP =\u00a0168<\/sup>\u00a0\/\u00a04.12<\/sub>
\nP = 40.74<\/p>\n

Therefore, the\u00a0permeability due to partial pressure\u00a0<\/strong>is\u00a040.74.<\/strong><\/p>\n

Calculating the Diffusion Coefficient when the Permeability due to Partial Pressure, the Constant and the Partial Pressure are Given<\/strong><\/h3>\n

D = P x \u221a(Po)<\/sup> \/ K<\/sub><\/p>\n

Where;<\/p>\n

D = Diffusion Coefficient
\nP = Permeability due to Partial Pressure
\nK = Constant
\nPo = Partial Pressure<\/p>\n

Let’s solve an example;
\nFind the diffusion coefficient when the permeability due to partial pressure is 12, the constant is 8 and the partial pressure is 16.<\/p>\n

This implies that;<\/p>\n

P = Permeability due to Partial Pressure = 12
\nK = Constant = 8
\nPo = Partial Pressure = 16<\/p>\n

D = P x \u221a(Po)<\/sup> \/ K<\/sub>
\nD = 12 x \u221a(16)<\/sup> \/ 8<\/sub>
\nThen, D = 12 x 4<\/sup> \/ 8<\/sub>
\nD = 48<\/sup> \/ 8<\/sub>
\nD = 6<\/p>\n

Therefore, the\u00a0diffusion constant\u00a0<\/strong>is\u00a06.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Knudsen Diffusion of Moulding Sand | Mass Transfer<\/a><\/p>\n

Calculating the Constant when the Permeability due to Partial Pressure, the Diffusion Coefficient and the Partial Pressure are Given<\/strong><\/h3>\n

K = P x \u221a(Po)<\/sup> \/ D<\/sub><\/p>\n

Where:<\/p>\n

K = Constant
\nP = Permeability due to Partial Pressure
\nD = Diffusion Coefficient
\nPo = Partial Pressure<\/p>\n

Let’s solve an example;
\nFind the constant when the permeability due to partial pressure is 20, the diffusion constant is 10 and the partial pressure is 25.<\/p>\n

This implies that;<\/p>\n

P = Permeability due to Partial Pressure = 20
\nD = Diffusion Coefficient = 10
\nPo = Partial Pressure = 25<\/p>\n

K = P x \u221a(Po)<\/sup> \/ D<\/sub>
\nK = 20 x \u221a(25)<\/sup> \/ 10<\/sub>
\nThen, K = 20 x 5<\/sup> \/ 10<\/sub>
\nK = 100<\/sup> \/ 10<\/sub>
\nK = 10<\/p>\n

Therefore, the\u00a0constant\u00a0<\/strong>is\u00a010.<\/strong><\/p>\n

Calculating the Partial Pressure when the Permeability due to Partial Pressure, the Diffusion Coefficient and the Constant are Given<\/strong><\/h3>\n

Po =(DK<\/sup> \/ P<\/sub>)2<\/sup><\/p>\n

Where:<\/p>\n

Po = Partial Pressure
\nP = Permeability due to Partial Pressure
\nD = Diffusion Coefficient
\nK = Constant<\/p>\n

Let’s solve an example;
\nFind the partial pressure when the permeability due to partial pressure is 15, the diffusion constant is 5 and the constant is 6.<\/p>\n

This implies that;<\/p>\n

P = Permeability due to Partial Pressure = 15
\nD = Diffusion Coefficient = 5
\nK = Constant = 6<\/p>\n

Po =(DK<\/sup> \/ P<\/sub>)2<\/sup>
\nPo =((5)(6)<\/sup> \/ 15<\/sub>)2<\/sup>
\nSo, Po =(30<\/sup> \/ 15<\/sub>)2<\/sup>
\nPo =(2)2<\/sup>
\nPo = 4<\/p>\n

Therefore, the\u00a0partial pressure\u00a0<\/strong>is\u00a04.<\/strong><\/p>\n

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

How to Calculate Permeability due to Partial Pressure Using Nickozm Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the permeability due to partial pressure.<\/p>\n

\n

To get the answer and workings of the permeability due to partial pressure 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 Permeability due to Partial Pressure <\/strong>under\u00a0Mass Transport<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the permeability due to partial pressure according to the respective parameter which is the Diffusion Coefficient (D), Constant (K)\u00a0<\/strong>and Partial Pressure (Po<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Diffusion Coefficient (D)<\/strong> is 12<\/strong>, Constant (K)<\/strong> is 14 <\/strong>and Partial Pressure (Po<\/sub>)<\/strong> is 17<\/strong>.<\/p>\n

\"\"<\/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 permeability due to partial pressure and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents permeability due to partial pressure. To calculate permeability due to partial pressure, three essential…","protected":false},"author":5,"featured_media":14987,"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":""},"categories":[47],"tags":[875,1560,60,1635,543,1653,1654],"class_list":["post-5834","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-constant","tag-diffusion-coefficient","tag-engineering","tag-mass-transfer","tag-materials-and-metallurgical","tag-partial-pressure","tag-permeability-due-to-partial-pressure","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for 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