How Does Newton's Law of Cooling Predict Time for Temperature Changes?

In summary, the Newton rate of temperature change is a unit of measurement used to describe the rate at which temperature changes, based on the Newton scale developed by Sir Isaac Newton. It is calculated by dividing the change in temperature by the time it takes for the temperature to change, and is expressed in degrees Newton per hour. The main difference between the Newton rate of temperature change and other temperature scales is the unit of measurement, and it is not widely used due to its reference point and lack of consistent relationship with other scales. The Newton rate of temperature change is most useful in scientific research and engineering applications where precise and consistent temperature measurements are needed, and in situations of extreme temperature changes.
  • #1
dymand68
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Homework Statement


A container of hot water at 80°C cools to 79°C in 15 seconds when it is placed in a room that is at 20°C. Use Newton's law of cooling to estimate the time it will take for the container to cool from 70°C to 69°C.
And still later, from 30°C to 29°C.



Homework Equations


rate~change in temp.



The Attempt at a Solution


15*1.125=18.75 (incorrect)
 
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  • #2
Look after Newton's law of cooling.

ehild
 

FAQ: How Does Newton's Law of Cooling Predict Time for Temperature Changes?

What is Newton rate of temp. change?

The Newton rate of temperature change is a unit of measurement used to describe the rate at which temperature changes. It is based on the Newton scale, which was developed by Sir Isaac Newton in the early 18th century.

How is Newton rate of temp. change calculated?

The Newton rate of temperature change is calculated by dividing the change in temperature by the time it takes for the temperature to change. It is expressed in degrees Newton per hour (°N/h).

What is the difference between Newton rate of temp. change and other temperature scales?

The main difference between the Newton rate of temperature change and other temperature scales, such as Celsius or Fahrenheit, is the unit of measurement. The Newton scale is based on a different reference point and is not commonly used in everyday temperature measurements.

Why is the Newton scale not widely used?

The Newton scale is not widely used because it is based on a reference point that is not commonly encountered in everyday life. It also does not have a consistent relationship with other temperature scales, making it difficult to compare temperatures measured in different scales.

In what situations is the Newton rate of temp. change most useful?

The Newton rate of temperature change is most useful in scientific research and engineering applications where precise and consistent temperature measurements are needed. It can also be used to describe extreme temperature changes, such as in industrial processes involving rapid heating or cooling.

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