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A body cooling rate can be expressed following Equation 1. dT = -k(T – Ta) dt (Eq. 1) where T= temperature of the body (°C), T= temperature of the surrounding medium (°C) and k = the proportionality constant (min"). If a metal cube with initial temperature of 90°C is left in a room with a constant T, =27C, use a numerical method to estimate the time taken for the cube to cool to 35°C if k = 0.25 min.

A body cooling rate can be expressed following Equation 1. dT = -k(T – Ta) dt (Eq. 1) where T= temperature of the body (°C), T= temperature of the surrounding medium (°C) and k = the proportionality constant (min"). If a metal cube with initial temperature of 90°C is left in a room with a constant T, =27C, use a numerical method to estimate the time taken for the cube to cool to 35°C if k = 0.25 min.

Introduction to Chemical Engineering Thermodynamics
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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A body cooling rate can be expressed following Equation 1. dT -k(T – Ta) (Eq. 1) dt where T= temperature of the body (°C), T= temperature of the surrounding medium (°C) and k = the proportionality constant (min '). If a metal cube with initial temperature of 90°C is left in a room with a constant Ta =27°C, use a numerical method to estimate the time taken for the cube to cool to 35°C if k= 0.25 min.
Transcribed Image Text:A body cooling rate can be expressed following Equation 1. dT -k(T – Ta) (Eq. 1) dt where T= temperature of the body (°C), T= temperature of the surrounding medium (°C) and k = the proportionality constant (min '). If a metal cube with initial temperature of 90°C is left in a room with a constant Ta =27°C, use a numerical method to estimate the time taken for the cube to cool to 35°C if k= 0.25 min.
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