{"id":5972,"date":"2021-09-08T20:35:56","date_gmt":"2021-09-08T19:35:56","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5972"},"modified":"2024-05-11T12:55:31","modified_gmt":"2024-05-11T11:55:31","slug":"how-to-calculate-and-solve-for-rate-at-which-latent-heat-is-evolved-solidification-of-metals","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/09\/08\/how-to-calculate-and-solve-for-rate-at-which-latent-heat-is-evolved-solidification-of-metals\/","title":{"rendered":"How to Calculate and Solve for Rate at Which Latent Heat is Evolved | Solidification of Metals"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents rate at which latent heat is evolved. To calculate the rate at which latent heat is evolved, three essential parameters are needed and these parameters are Density of Solidifying Metal (\u03c1’), Latent Heat of Fusion of Metal (Hf<\/sub>) <\/strong>and Mass Flow Rate (dM\/dt).<\/strong><\/p>\n

The formula for calculating the rate at which latent heat is evolved:<\/strong><\/h3>\n

qx<\/sub> = \u03c1’Hf<\/sub>(dM\/dt)<\/p>\n

Where the following applies:<\/p>\n

qx<\/sub> = Rate at Which Latent Heat is Evolved
\n\u03c1’ = Density of Solidifying Metal
\nHf<\/sub> = Latent Heat of Fusion of Metal
\ndM\/dt = Mass Flow Rate<\/p>\n

Let’s solve an example;
\nFind the rate at which latent heat is evolved when the density of solidifying metal is 8, the latent heat of fusion of metal is 4, and the mass flow rate is 2.<\/p>\n

This implies that the following:<\/p>\n

\u03c1’ = Density of Solidifying Metal = 8
\nHf<\/sub> = Latent Heat of Fusion of Metal = 4
\ndM\/dt = Mass Flow Rate = 2<\/p>\n

qx<\/sub> = \u03c1’Hf<\/sub>(dM\/dt)
\nSo, qx<\/sub> = (8)(4)(2)
\nqx<\/sub> = 64<\/p>\n

Therefore, the rate at which latent heat is evolved <\/strong>is 64.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Thickness of Solidifying Metals | Solidification of Metals<\/a><\/p>\n

Calculating the Density of Solidifying Metal when the Rate at which Latent Heat is Evolved, the Latent Heat of Fusion of Metal and the Mass Flow Rate are Given<\/strong><\/h3>\n

\u03c1’ = qx<\/sub><\/sup> \/ Hf<\/sub> (dM\/dt)<\/sub><\/p>\n

Where the following applies:<\/p>\n

\u03c1’ = Density of Solidifying Metal
\nqx<\/sub> = Rate at Which Latent Heat is Evolved
\nHf<\/sub> = Latent Heat of Fusion of Metal
\ndM\/dt = Mass Flow Rate<\/p>\n

Let’s solve an example;
\nFind the density of solidifying metal when the rate at which latent heat is evolved is 25, the latent heat of fusion of metal is 5 and the mass flow rate is 3.<\/p>\n

This implies the following:<\/p>\n

qx<\/sub> = Rate at Which Latent Heat is Evolved = 25
\nHf<\/sub> = Latent Heat of Fusion of Metal = 5
\ndM\/dt = Mass Flow Rate = 3<\/p>\n

\u03c1’ = qx<\/sub><\/sup> \/ Hf<\/sub> (dM\/dt)<\/sub>
\n\u03c1’ = 25<\/sup> \/ 5 (3)<\/sub>
\nThen, \u03c1’ = 25<\/sup> \/ 15<\/sub>
\n\u03c1’ = 1.67<\/p>\n

Therefore, the density of solidifying metal <\/strong>is 1.67.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Volume Shrinkage | Solidification of Metals<\/a><\/p>\n

Calculating the Latent Heat of Fusion of Metal when the Rate at which Latent Heat is Evolved, the Density of Solidifying Metal and the Mass Flow Rate are Given<\/strong><\/h3>\n

Hf<\/sub> = qx<\/sub><\/sup> \/ \u03c1’ (dM\/dt)<\/sub><\/p>\n

Where the following applies:<\/p>\n

Hf<\/sub> = Latent Heat of Fusion of Metal
\nqx<\/sub> = Rate at Which Latent Heat is Evolved
\n\u03c1’ = Density of Solidifying Metal
\ndM\/dt = Mass Flow Rate<\/p>\n

Let’s solve an example;
\nFind the latent heat of fusion of metal when the rate at which latent heat is evolved is 30, the density of solidifying metal is 6 and the mass flow rate is 4.<\/p>\n

This implies the following:<\/p>\n

qx<\/sub> = Rate at Which Latent Heat is Evolved = 30
\n\u03c1’ = Density of Solidifying Metal = 6
\ndM\/dt = Mass Flow Rate = 4<\/p>\n

Hf<\/sub> = qx<\/sub><\/sup> \/ \u03c1’ (dM\/dt)<\/sub>
\nThen, Hf<\/sub> = 30<\/sup> \/ 6 (4)<\/sub>
\nHf<\/sub> = 30<\/sup> \/ 24<\/sub>
\nHf<\/sub> = 1.25<\/p>\n

Therefore, the latent heat of fusion of metal <\/strong>is 1.25.<\/strong><\/p>\n

Calculating the Mass Flow Rate when the Rate at which Latent Heat is Evolved, the Density of Solidifying Metal and the Latent Heat of Fusion of Metal are Given<\/strong><\/h3>\n

dM\/dt = qx<\/sub><\/sup> \/ \u03c1’Hf<\/sub><\/sub><\/p>\n

Where the following applies:<\/p>\n

dM\/dt = Mass Flow Rate
\nqx<\/sub> = Rate at Which Latent Heat is Evolved
\n\u03c1’ = Density of Solidifying Metal
\nHf<\/sub> = Latent Heat of Fusion of Metal<\/p>\n

Let’s solve an example;
\nFind the mass flow rate when the rate at which latent heat is evolved is 28, the density of solidifying metal is 4 and the latent heat of fusion of metal is 3.<\/p>\n

This implies the following:<\/p>\n

qx<\/sub> = Rate at Which Latent Heat is Evolved = 28
\n\u03c1’ = Density of Solidifying Metal = 4
\nHf<\/sub> = Latent Heat of Fusion of Metal =3<\/p>\n

dM\/dt = qx<\/sub><\/sup> \/ \u03c1’Hf<\/sub><\/sub>
\nSo, dM\/dt = 28<\/sup> \/ (4)(3)<\/sub>
\ndM\/dt = 28<\/sup> \/ 12<\/sub>
\ndM\/dt = 2.33<\/p>\n

Therefore, the mass flow rate <\/strong>is 2.33.<\/strong><\/p>\n

How to Calculate the Rate at Which Latent Heat is Evolved Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the rate at which latent heat is evolved.<\/p>\n

\n

To get the answer and workings of the rate at which latent heat is evolved 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><\/p>\n

Solving the Rate at Which Latent Heat is Evolved<\/strong><\/h4>\n

Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Hence, Click on Solidification of Metal <\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Then, click on Rate at which Latent Heat is Evolved <\/strong>under Solidification of Metal
\n<\/strong><\/p>\n

\"\"<\/p>\n

So, the screenshot below displays the page or activity to enter your values, to get the answer for the rate at which latent heat is evolved according to the respective parameter which is the Density of Solidifying Metal (\u03c1’), Latent Heat of Fusion of Metal (Hf<\/sub>) <\/strong>and Mass Flow Rate (dM\/dt).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Density of Solidifying Metal (\u03c1’)<\/strong> is 8<\/strong>, Latent Heat of Fusion of Metal (Hf<\/sub>)<\/strong> is 4 <\/strong>and Mass Flow Rate (dM\/dt)<\/strong> is 2<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

Hence, as you can see from the screenshot above, Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia can calculate the rate at which latent heat is evolved and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents rate at which latent heat is evolved. To calculate the rate at which latent…","protected":false},"author":5,"featured_media":15068,"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":[1694,60,1695,1696,543,1697,1692],"class_list":["post-5972","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-density-of-solidifying-metals","tag-engineering","tag-latent-heat-of-fusion-of-metals","tag-mass-flow-rate","tag-materials-and-metallurgical","tag-rate-at-which-latent-heat-is-evolved","tag-solidification-of-metals","cs-entry"],"yoast_head":"\nHow 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