Consider a solid of A having one side open to the atmosphere as indicated on thefigure below. Initially, temperature of A is To everywhere.Sketch the qualitative temperature distribution curves with respect to time for the followingcases;i) Constant heat flux of q is applied from the left side of the solidii) The left side of the solid is kept at constant temperature Tw. ### Heat Transfer in Solids: Temperature Distribution#### Problem Statement:Consider a solid of material "A" with one side open to the atmosphere as illustrated in the figure below. Initially, the temperature of solid "A" is \( T_0 \) everywhere.![Solid A open to the atmosphere](example-figure.png)#### Diagram Explanation:The figure depicts a rectangular solid with the right side in contact with the atmosphere. The initial temperature of the entire solid is denoted as \( T_0 \). The right side, being open to the atmosphere, has a temperature indicated as \( T_\infty \).#### Task:Sketch the qualitative temperature distribution curves over time for the following cases:1. **Constant heat flux \( q \)** is applied from the left side of the solid.2. The left side of the solid is maintained at a **constant temperature \( T_w \)**.#### Solution:For each case, the temperature variation along the length of the solid material "A" should be considered.### Case i: Constant Heat Flux \( q \) Applied from the Left SideIn this scenario, a constant heat flux \( q \) is supplied to one side of the solid. This will cause a temperature gradient to develop over time, as heat will begin to flow through the material and dissipate into the atmosphere on the other side.**Temperature Distribution Curve:**Initially:- The temperature is uniform at \( T_0 \).Over time:- Heat starts to diffuse from the left to the right side. The temperature near the left side increases while towards the right side, the temperature approaches \( T_\infty \).- A linear (or nearly linear depending on thermal conductivity) gradient will be observed with higher temperatures on the left decreasing gradually to atmospheric temperature on the right.### Case ii: Left Side Maintained at Constant Temperature \( T_w \)In this scenario, the left side of the solid is kept at a constant temperature \( T_w \). This will cause a steady-state condition to be established once the system reaches equilibrium.**Temperature Distribution Curve:**Initially:- The temperature is uniform at \( T_0 \).Over time:- As the left side is maintained at \( T_w \), heat will flow towards the right, lowering the overall temperature until equilibrium is reached.- The distribution will resemble an exponential decay curve, starting at \( T_w \) on the left and gradually approaching \( T_\infty \

Answered: Image /qna-images/answer/70b8bb33-3b96-41f7-9c4f-c8180a1883d1.jpg

Answered: a) Consider a solid of A having one…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

Consider a solid of A having one side open to the atmosphere as indicated on the
figure below. Initially, temperature of A is To everywhere.
Sketch the qualitative temperature distribution curves with respect to time for the following
cases;
i) Constant heat flux of q is applied from the left side of the solid
ii) The left side of the solid is kept at constant temperature Tw.