(Application of 1st ODE in Newton's Law of Cooling) wild How Figure 1.0 Newton's Law of cooling is a differential equation that predicts the cooling of a warm body placed in a cold environment. According to the law, the rate at which the temperature of the body decreases is proportional to the difference of temperature between the body and its environment. dT dt = - k(T – Te) Where I is the temperature of the object while T, is the constant temperature of the environment and k, the constant of proportionality? If a bottle of water with an initial temperature of 25°C is placed in a refrigerator with an internal temperature of 5°C. Given that, after the bottle being placed in the refrigerator for 10 minutes, the temperature of the water becomes 20°С. By applying the Newton's Law of Cooling, predict the temperature of the water will become after one hour.
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