Bob heats up a bottle of milk for his baby, Jill, every morning. Jill will only drink the bottle if it is at 98 degrees. So Bob places the bottle in a cup of hot water (170 degrees). The bottle starts off at 35 degrees. Use Newton's heating-cooling law, that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Explain why you can't solve this problem if all you know is the initial temperature of the milk and the final required temperature of the milk.

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**Problem about Newton’s Heating-Cooling Law for Educational Website**

Bob heats up a bottle of milk for his baby, Jill, every morning. Jill will only drink the bottle if it is at 98 degrees. So, Bob places the bottle in a cup of hot water (170 degrees). The bottle starts off at 35 degrees. Use Newton's heating-cooling law, which states that the rate of change in the temperature (H) is proportional to the difference between the object's temperature and the surrounding temperature. 

**Problem Statement:** Explain why you cannot solve this problem if all you know is the initial temperature of the milk and the final required temperature of the milk.
Transcribed Image Text:**Problem about Newton’s Heating-Cooling Law for Educational Website** Bob heats up a bottle of milk for his baby, Jill, every morning. Jill will only drink the bottle if it is at 98 degrees. So, Bob places the bottle in a cup of hot water (170 degrees). The bottle starts off at 35 degrees. Use Newton's heating-cooling law, which states that the rate of change in the temperature (H) is proportional to the difference between the object's temperature and the surrounding temperature. **Problem Statement:** Explain why you cannot solve this problem if all you know is the initial temperature of the milk and the final required temperature of the milk.
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