Answer:
The liquid will take 17.5 minutes to reach -10.5 ºC.
Step-by-step explanation:
From this statement we understand that the temperature of liquid is increased at constant rate in time, whose model is described by:
[tex]T (t) = \dot r \cdot t + T_{o}[/tex] (Eq. 1)
Where:
[tex]T[/tex] - Temperature of the liquid, measured in degrees Celsius.
[tex]\dot r[/tex] - Heating rate, measured in degrees Celsius per minute.
[tex]t[/tex] - Time, measured in minutes.
[tex]T_{o}[/tex] - Initial temperature, measured in degrees Celsius.
If we know that [tex]\dot r = -0.60\,\frac{^{\circ}C}{min}[/tex] and [tex]T_{o} = 0\,^{\circ}C[/tex], the temperature model for the liquid is:
[tex]T(t) = -0.60\cdot t[/tex] (Eq. 2)
In addition, if [tex]T(t) = -10.5\,^{\circ}C[/tex], then time taken for the liquid to reach that temperature is:
[tex]t = \frac{-10.5}{-0.60}[/tex]
[tex]t = 17.5\,min[/tex]
The liquid will take 17.5 minutes to reach -10.5 ºC.
