{"id":8996,"date":"2023-01-16T12:12:37","date_gmt":"2023-01-16T11:12:37","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8996"},"modified":"2024-06-09T17:32:07","modified_gmt":"2024-06-09T16:32:07","slug":"how-to-calculate-and-solve-for-conversion-of-volume-fraction-to-mass-fraction-phase-transformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/16\/how-to-calculate-and-solve-for-conversion-of-volume-fraction-to-mass-fraction-phase-transformation\/","title":{"rendered":"How to Calculate and Solve for Conversion of Volume Fraction to Mass Fraction | Phase Transformation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the conversion of volume fraction to mass fraction. To calculate conversion of volume fraction to mass fraction, four essential parameters are needed and these parameters are \u03b1-phase Volume Fraction (V\u03b1<\/sub>), \u03b2-phase Volume Fraction (V\u03b2<\/sub>), \u03b1-phase Density (\u03c1\u03b1<\/sub>) and \u03b2-phase Density (\u03c1\u03b2<\/sub>).<\/strong><\/p>\n

The formula for calculating volume fraction to mass fraction:<\/strong><\/h3>\n

W\u03b1<\/sub>\u00a0=\u00a0V\u03b1<\/sub>\u03c1\u03b1<\/sub><\/sup>\/(V\u03b1\u03c1\u03b1) + (V\u03b2\u03c1\u03b2)<\/sub><\/p>\n

W\u03b2<\/sub>\u00a0=\u00a0V\u03b2<\/sub>\u03c1\u03b2<\/sub><\/sup>\/(V\u03b1\u03c1\u03b1) + (V\u03b2\u03c1\u03b2)<\/sub><\/p>\n

Where:<\/p>\n

W\u03b1<\/sub>\u00a0= \u03b1-phase Weight\/Mass Fraction<\/a>
\nW\u03b2<\/sub>\u00a0= \u03b2-phase Weight\/Mass Fraction
\nV\u03b1<\/sub>\u00a0= \u03b1-phase Volume Fraction
\nV\u03b2<\/sub>\u00a0= \u03b2-phase Volume Fraction
\n\u03c1\u03b1<\/sub>\u00a0= \u03b1-phase Density
\n\u03c1\u03b2<\/sub>\u00a0= \u03b2-phase Density<\/p>\n

Let’s solve an example;
\nFind the conversion of volume fraction to mass fraction when the \u03b1-phase volume fraction is 4, the \u03b2-phase volume fraction is 7, the \u03b1-phase density is 11 and the \u03b2-phase density is 10.<\/p>\n

This implies that;<\/p>\n

V\u03b1<\/sub> = \u03b1-phase Volume Fraction = 4
\nV\u03b2<\/sub> = \u03b2-phase Volume Fraction = 7
\n\u03c1\u03b1<\/sub> = \u03b1-phase Density = 11
\n\u03c1\u03b2<\/sub> = \u03b2-phase Density = 10<\/p>\n

W\u03b1<\/sub>\u00a0=\u00a0(4)(11)<\/sup>\/((4)(11)) + ((7)(10))<\/sub>
\nThat is, W\u03b1<\/sub>\u00a0=\u00a0(44)<\/sup>\/(44) + (70)<\/sub>
\nW\u03b1<\/sub>\u00a0=\u00a0(44)<\/sup>\/(114)<\/sub>
\nW\u03b1<\/sub> = 0.38<\/p>\n

Therefore, the \u03b1-phase mass fraction<\/strong>, W\u03b1<\/sub>\u00a0is\u00a00.38<\/b>.<\/p>\n

W\u03b2<\/sub>\u00a0=\u00a0(7)(10)<\/sup>\/((4)(11)) + ((7)(10))<\/sub>
\nW\u03b2<\/sub>\u00a0=\u00a0(70)<\/sup>\/(44) + (70)<\/sub>
\nSo, W\u03b2<\/sub>\u00a0=\u00a0(70)<\/sup>\/(114)<\/sub>
\nW\u03b2<\/sub> = 0.614<\/p>\n

Therefore, the \u03b2-phase mass fraction<\/strong>, W\u03b2<\/sub>\u00a0is\u00a00.614<\/b>.<\/p>\n

How to Calculate Conversion of Volume Fraction to Mass Fraction With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the conversion of volume fraction to mass fraction.<\/p>\n

\n

To get the answer and workings of the conversion of volume fraction to mass fraction 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>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\u00a0Phase Transformation<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Conversion of Volume Fraction to Mass Fraction <\/strong>under\u00a0Phase Transformation<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of volume fraction to mass fraction according to the respective parameter which is the \u03b1-phase Volume Fraction (V\u03b1<\/sub>), \u03b2-phase Volume Fraction (V\u03b2<\/sub>), \u03b1-phase Density (\u03c1\u03b1<\/sub>) and \u03b2-phase Density (\u03c1\u03b2<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the \u03b1-phase Volume Fraction (V\u03b1<\/sub>)<\/strong> is 4<\/strong>, \u03b2-phase Volume Fraction (V\u03b2<\/sub>)<\/strong> is 7<\/strong>, \u03b1-phase Density (\u03c1\u03b1<\/sub>)<\/strong> is\u00a011<\/strong> and \u03b2-phase Density (\u03c1\u03b2<\/sub>)<\/strong> is 10<\/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 the conversion of volume fraction to mass fraction and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the conversion of volume fraction to mass fraction. To calculate conversion of volume fraction…","protected":false},"author":5,"featured_media":16906,"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":[2256,2460,2257,2461,2462,60,543,2244],"class_list":["post-8996","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-a-phase-density","tag-a-phase-volume-fraction","tag-b-phase-density","tag-b-phase-volume-fraction","tag-conversion-of-volume-fraction-to-mass","tag-engineering","tag-materials-and-metallurgical","tag-phase-transformation","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Conversion of Volume Fraction to Mass Fraction | Phase Transformation<\/title>\n<meta name=\"description\" content=\"This is How to Calculate Conversion of Volume Fraction to Mass Fraction in Phase Transformation. 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