Using MATLAB. The change of temperature for an object placed in an isothermal ch

Question

Using MATLAB. The change of temperature for an object placed in an isothermal chamber may be modeled by the formula

                                                        T = Ts + (To – Ts)e-kt

where T is the temperature of the object at time t, Ts is the temperature of the isothermal chamber, To is the temperature of the object at time t = 0, and k is a rate constant. Suppose a can of soda was removed from a refrigerator at a temperature of 38 degrees and placed in a car sitting in the sun that maintains an interior temperature of 125 degrees. Calculate the temperature of the can of soda from 0 to 3 hours in increments of 0.1 hours to the nearest integer if k is 0.40. Define all the variables then calculate the temperatures. Create a table (do not use table command) with T in the first column and t in in the second problem.

Explanation / Answer

function [T tarr] = printTempTable(Ts, To, k)
    count = 1
    T = []
    tarr = []
    for t = 0: 0.1: 3
    %     T = Ts + (To – Ts)e-kt
         T(count) = Ts + (To - Ts) * exp(-1 * k *t)
         tarr(count) = t
         count = count+1

    end
       
end

[T t] =printTempTable(125, 38, 0.40)
disp("T t")
for i = 1 : length(T)
fprintf("%f %f ",T(i), t(i))
end

----------------output-----------------

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