A hot coffee at 80 c is left in a room at 20 c.it is found that after 20 minutes in the room, the temperature of coffee has decreased by 20 c. Determine the temperature of coffee after 30 minutes?
1 Answer
I get
Explanation:
We use Newton's Law of Cooling, which states that
Solving the differential equation, we get
where
Plugging in the values, we need to find
We got:
When
We get:
The equation becomes:
Now, we can find
Decreasing by
So, the final equation is:
After
So, the temperature after half an hour will be approximately