{"id":8033,"date":"2022-12-10T13:40:07","date_gmt":"2022-12-10T12:40:07","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8033"},"modified":"2024-05-31T10:02:39","modified_gmt":"2024-05-31T09:02:39","slug":"how-to-calculate-and-solve-for-conversion-of-mass-fraction-to-volume-fraction-phase-transformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/12\/10\/how-to-calculate-and-solve-for-conversion-of-mass-fraction-to-volume-fraction-phase-transformation\/","title":{"rendered":"How to Calculate and Solve for Conversion of Mass Fraction to Volume Fraction | Phase Transformation"},"content":{"rendered":"

The image of conversion of mass fraction to volume fraction is represented below. To calculate conversion of mass fraction to volume fraction, four essential parameters are needed and these parameters are \u03b1-phase Weight\/Mass Fraction (W\u03b1<\/sub>), \u03b2-phase Weight\/Mass Fraction (W\u03b2<\/sub>), \u03b1-phase Density (\u03c1\u03b1<\/sub>)<\/strong> and \u03b2-phase Density (\u03c1\u03b2<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

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

V\u03b1<\/sub>\u00a0=\u00a0W\u03b1<\/sub>\/\u03c1\u03b1<\/sub><\/sup>\/(W\u03b1\/\u03c1\u03b1) + (W\u03b2\/\u03c1\u03b2)<\/sub><\/p>\n

V\u03b2<\/sub>\u00a0=\u00a0W\u03b2<\/sub>\/\u03c1\u03b2<\/sub><\/sup>\/(W\u03b1\/\u03c1\u03b1) + (W\u03b2\/\u03c1\u03b2)<\/sub><\/p>\n

Where:<\/p>\n

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

Given an example;
\nFind the conversion of mass fraction to volume fraction when the \u03b1-phase Weight\/Mass Fraction is 2, the \u03b2-phase Weight\/Mass Fraction is 4, the \u03b1-phase Density is 6 and the \u03b2-phase Density is 8.<\/p>\n

This implies that;<\/p>\n

W\u03b1<\/sub> = \u03b1-phase Weight\/Mass Fraction = 2
\nW\u03b2<\/sub> = \u03b2-phase Weight\/Mass Fraction = 4
\n\u03c1\u03b1<\/sub> = \u03b1-phase Density = 6
\n\u03c1\u03b2<\/sub> = \u03b2-phase Density = 8<\/p>\n

V\u03b1<\/sub>\u00a0=\u00a0(2\/6)<\/sup>\/(2\/6) + (4\/8)<\/sub>
\nSo, V\u03b1<\/sub>\u00a0=\u00a0(0.333)<\/sup>\/(0.333) + (0.5)<\/sub>
\nV\u03b1<\/sub>\u00a0=\u00a0(0.333)<\/sup>\/(0.833)<\/sub>
\nV\u03b1<\/sub> = 0.4<\/p>\n

Therefore, the \u03b1-phase volume fraction<\/a>, V\u03b1<\/sub>\u00a0is\u00a00.4<\/b>.<\/p>\n

V\u03b2<\/sub>\u00a0=\u00a0(4\/8)<\/sup>\/(2\/6) + (4\/8)<\/sub>
\nV\u03b2<\/sub>\u00a0=\u00a0(0.5)<\/sup>\/(0.333) + (0.5)<\/sub>
\nThat is, V\u03b2<\/sub>\u00a0=\u00a0(0.5)<\/sup>\/(0.833)<\/sub>
\nV\u03b2<\/sub> = 0.600<\/p>\n

Therefore, the \u03b2-phase volume fraction, V\u03b2<\/sub>\u00a0is\u00a00.60.<\/b><\/p>\n

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

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

\n

To get the answer and workings of the conversion of mass fraction to volume 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 Mass Fraction to Volume <\/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 mass fraction to volume according to the respective parameter which is the \u03b1-phase Weight\/Mass Fraction (W\u03b1<\/sub>), \u03b2-phase Weight\/Mass Fraction (W\u03b2<\/sub>), \u03b1-phase Density (\u03c1\u03b1<\/sub>)<\/strong> 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 Weight\/Mass Fraction (W\u03b1<\/sub>)<\/strong> is 2<\/strong>, \u03b2-phase Weight\/Mass Fraction (W\u03b2<\/sub>)<\/strong> is 4<\/strong>, \u03b1-phase Density (\u03c1\u03b1<\/sub>)\u00a0<\/strong>is\u00a06<\/strong> and \u03b2-phase Density (\u03c1\u03b2<\/sub>)<\/strong> is 8<\/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 conversion of mass fraction to volume and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image of conversion of mass fraction to volume fraction is represented below. To calculate conversion of mass…","protected":false},"author":5,"featured_media":16252,"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":[2256,2254,2257,2255,2258,60,543,2244],"class_list":["post-8033","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-a-phase-density","tag-a-phase-weight-mass-fraction","tag-b-phase-density","tag-b-phase-weight-mass-fraction","tag-conversion-of-mass-fraction-to-volume","tag-engineering","tag-materials-and-metallurgical","tag-phase-transformation","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Conversion of Mass Fraction to Volume Fraction | Phase Transformation<\/title>\n<meta name=\"description\" content=\"Learn the steps and the formula on How to Calculate Conversion of Mass Fraction to Volume Fraction. 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