Question

Question: Create Young’s modulus-melting point (E-T_m) chart (level 2) for metals and alloys. Use ‘guideline’ function to determine which slope among 0.5, 1 and 2 in the E-T_m chart best describes the dependence between E and T_m. Justify this dependence from the origin of these two properties.

- 0 X Settings Help 02-CES EduPack 2019 - (Stage 1: Young's modulus (GPa) vs. Melting point (C) File Edit View Select Tools Window Feature Request Help Home Browse Search / Chart/Select Eco Audit Synthesizer Leam Tl Tools - Selection Project Home Stage 1 * 1. Selection Data Young's modulus (GPa) vs. Melting point (°C) Database: Level 2 Change... Select from: Material universe: Metals an 2. Selection Stages Chart Limit Tree Stage 1: Young's modulus (GPa) vs. slop1 3. Results: 28 of 28 pass Show Pass al Stages Rank by: Alphabetical slop0.5 Young's modulus (GPa) BB Name Age hardening wrought Al-alloys Brass Bronze Cast Al-aloys Cast iron, ductie (nodular) Cast iron, gray Cast magnesium alloys Commercial pure lead Commercially pure titanium Commercial pure zinc Copper Gold High carbon steel Lead aloys Low alloy steel Low carbon steel Medium carbon steel Nickel Nickel-based supera loys N el chromium alloys Non age-hardening wrought Al-al... Melting point (°C) Ready NUM 20:07 2020/3/26 2

I had already drawn the picture. Could you explain the reason why Yong's modulus and melting point have a linear relationship? Justify this dependence from the origin of these two properties.!!!!

Answer 1

Melting point is the temperature at which solid material transforms to a liquidus flow. Hence melting point depends on the bonding between molecules. The bonds bend and break in a solid material as energy is supplied by heating and finally bonds break and substance melts. Higher the melting point, stronger is the bonding between molecules indeed stiffer is the bond. Melting point is thus an intrinsic property.

Young's modulus is the measure of stiffness of a material. More the stiffness, more energy is required to deform a material and more will be young's modulus. Stiffness depends on stiffness of bonds in material and thus young's modulus is an inherent property which depends on molecular bonding.

Hence melting point and young's modulus both depends directly on the molecular bond stiffness. Thus if young's modulus is high, it's melting point will also be high. And if young's modulus is low for a material, it's melting point will also be low. Hence a direct relation is obtained between the two quantities and so we get straight line plot for them.

Young's modulus and melting point has a linear relationship.