Newtons Law Of Cooling

To solve the problem of determining the final temperature of the copper ball after 20 minutes, we apply Newton's Law of Cooling, which is given by the formula:

where:

= temperature of the object at time

= surrounding temperature

= initial temperature of the object

= cooling constant

= time

Given data: Initial temperature , surrounding temperature , and in 5 minutes, the temperature changes to .

Calculate using the data for 5 minutes:

Now, calculate the temperature after 20 minutes:

Due to rounding of the exponential factors in intermediate steps, the closest option is:

35°C (Correct Answer)