How to find temperature and time

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The discussion revolves around a question regarding Newton's law of cooling, specifically how to derive the final equation for the cooling of a hot body in air. The scenario involves a body cooling from 60 degrees to 50 degrees in 3 minutes, with the air temperature at 18 degrees. The main inquiries are about the time it will take for the body to cool to 30 degrees and its temperature after 10 minutes. Participants are encouraged to provide guidance on the derivation and calculations involved. The conversation emphasizes the application of Newton's law of cooling to solve the problem.
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hi, i have question here i want to know the complete final equation through proper derivation and answers. can anyone guide me?? here is question:

the rate of cooling of hot body in air is very nearly proportional to the difference b/w the temperature of body n the temperature of air.if the TEMP OF AIR IS 18 degree and body intitially is at 60 degree is found to have cooled to 50 degree after 3 minz how long will it be before it cools to 30 degree?? and what will the temperature after 10 minz??

Any kind of help will be appreciated.

Regards,
Aina
 
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