Question C.3.4: Consider again Example C.1.1.Water in a glass measuring cup ...

System Dynamics

Consider again Example C.1.1.Water in a glass measuring cup was allowed to cool after being heated to 204°F. The ambient air temperature was 70°F. The measured water temperature at various times is given in the following table.

$\begin{array}{l|llllll}\text{Time}( sec ) & 0 & 120 & 240 & 360 & 480 & 600 \\\hline \text{Temperature}\left({}^{\circ}F \right) & 204 & 191 & 178 & 169 & 160 & 153 \\\text{Time}( sec ) & 720 & 840 & 960 & 1080 & 1200 \\\hline \text{Temperature}\left({}^{\circ}F \right) & 147 & 141 & 137 & 132 & 127\end{array}$

Obtain a functional description of the water temperature versus time.

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