Answer:
Therefore, it will take approximately 1.33 minutes longer for the water to cool from 40°C to 35°C.
Explanation:
To calculate how much longer it will take for the water to cool from 40°C to 35°C, we need to consider the rate at which the water cools down.
1. Calculate the initial temperature difference:
- The initial temperature difference is the starting temperature minus the room temperature: 100°C - 25°C = 75°C.
2. Calculate the time it took for the water to cool to 40°C:
- We know that it took 10 minutes for the water to cool from 100°C to 40°C.
3. Calculate the rate of cooling:
- To find the rate of cooling, we divide the initial temperature difference by the time it took to cool: 75°C / 10 minutes = 7.5°C per minute.
4. Calculate the remaining temperature difference:
- The remaining temperature difference is the desired final temperature minus the room temperature: 35°C - 25°C = 10°C.
5. Calculate the additional time needed to cool to 35°C:
- To find the additional time needed, we divide the remaining temperature difference by the rate of cooling: 10°C / 7.5°C per minute = 1.33 minutes.
Therefore, it will take approximately 1.33 minutes longer for the water to cool from 40°C to 35°C.