Use newton's law of cooling, t = c + (t0 – c).ekt, to solve the problem. a cup of coffee with temperature 102°f is placed in a freezer with temperature 0°f. after 8 minutes, the temperature of the coffee is 52.5°f. what will its temperature be 13 minutes after it is placed in the freezer? round your answer to the nearest degree.

Answer

35°F

Step-by-step explanation:

C is the temperature of environment = 0°F

T_0  is the initial temperature of object = 102°F

t is the time period = 8

Plug in all the values and solve for k

WE know T is  52.5°F after 8 minutes

solve for k

Divide both sides by 102

Take ln on both sides

Divide both sides by 8

k=-0.08302

Now we find out T  when t= 13

T= 34.66°F

So T= 35°F

step-by-step explanation:

one set of data has more variation than the other. hope this !