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A cup of hot coffee initially at 95ºC cools to 80ºC in 5 minutes while sitting in a room with a temperature of 21ºC. Using Newton’s Law of Cooling, determine when the temperature of the coffee will be 50ºC.

Answer :

A cup of hot coffee initially at 95ºc cools to 80ºc in 5 min while sitting in a room of temperature 21ºc. using just newton’s law of cooling, determine when the temperature of the coffee will be a nice 50ºc

In 10 minutes the hot coffee will attain the temperature of 50 degrees Celsius.

Initially the hot cup of coffee at the temperature of 95 degrees Celsius but after 5 minutes its temperature decreases from 95 to 85 degrees Celsius which is 15 degrees Celsius decrease so in other 5 minutes, the temperature decreases to 65 degrees Celsius.

Again after 5 minutes the temperature will further decrease finally the cup of coffee attain the temperature of 50 degrees Celsius so we can conclude that in 10 minutes the hot coffee will gain the 50 degrees Celsius temperature.

According to Newton's Law of cooling, the charge of loss of heat from a body is immediately proportional to the difference in the temperature of the frame and its surroundings.

The price, wherein a frame that is uncovered, modifications the temperature thru radiation is about proportional to the difference among the item's temperature and its environment, and the furnished difference is low. that is called Newton's law of cooling.

Learn more newton’s law of cooling here:-

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