Question

After sitting on a shelf for a while, a can of soda at a room temperature ( 6 8 ∘ 68 ∘ F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 3 9 ∘ 39 ∘ F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below:

Answer 1

Newton's Law of Cooling explains how the temperature of the can of soda decreases when placed in the refrigerator.

Step-by-step explanation:

According to Newton's Law of Cooling, the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator. The formula for Newton's Law of Cooling is:

T(t) = T(refrigerator) + (T(soda0) - T(refrigerator)) * e^(-k*t)

Where:
T(t) is the temperature of the can of soda at time 't'
T(refrigerator) is the temperature of the refrigerator
T(soda0) is the initial temperature of the can of soda
t is the time elapsed
k is a constant related to the cooling rate

To find the amount of energy needed to cool the soda from 20°C to 0°C, you can use the specific heat capacity formula:

Q = m * c * ΔT

Where:
Q is the amount of energy
m is the mass of the soda
c is the specific heat capacity of the soda
ΔT is the change in temperature