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The initial temperature and the temperature after 18 minutes of the soda are 16 °C and 4.195 °C, respectively.
Herein we find a trascendent function that models the cooling process of a soda within a cooler, whose form is described below:
T(t) = [tex]T_{f} + \Delta T \cdot e^{k\cdot t}[/tex], k < 0 (1)
Where:
If we know that [tex]T_{f}[/tex] = - 7 °C, ΔT = 23 °C and k = - 0.04 1 / °C, then initial and resulting temperatures are:
Initial temperature
T(0) = - 7 + 23
T(0) = 16 °C
Temperature after 18 minutes
T(18) = - 7 + 23 · [tex]e^{-0.04 \cdot 18}[/tex]
T(18) = 4.195 °C
The initial temperature and the temperature after 18 minutes of the soda are 16 °C and 4.195 °C, respectively.
To learn more on cooling processes: https://brainly.com/question/4385546
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