Anonymous

### Question Description

you will be performing some parameter estimation on actual experimental data. I performed an experiment in which I placed nearly boiling water in a coffee mug and allowed it to cool to room temperature. During cooling, I took regular temperature measurements (30 seconds apart at first, then at longer intervals as the temperature approached steady state). The data is stored in a MATLAB data file ( check attached) containing variables $t$ i m e and $T$ m e a s u r e d, representing the time and temperature (in $\circ$ F) for each measurement, respectively. Parameters to be used for this analysis are shown in the table below. Please answer the questions that follow.

 Water Volume $503$ c m 3 Water Specific Heat $2326$ J k g ∘ F Water Density $997$ k g m 3 Room Temperature $71$ ∘ F

Using the data provided, find an expression for the system's response (temperature as a function of time) in the form

1- What is the value of $T$ o?

2- What is the value of $T$ ( 0 )?

3-What is the value of $\tau$?

4-What is the thermal capacitance of this system?

5-What is the thermal resistance of this system?

note: MATLAB has to be used as i need the code and the m file.

the solution can be only few steps

.

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