would a body cool faster from 150 deg C to 100 deg C or 100 deg C to 50 deg C?

Question

According to Newtons law of cooling

Answer 1

First: The answer:
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If they have the same conditions, the answer will be NO they will reach the desired temperature at the same time.

The mass, the specific heat capacity and the difference in the temperature are the conditions.

Second: Generally:
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Cooling occurs by contacting a pre-cooled body with the
body which is required to be cooled, in your question the two cases will lose the same amount of heat energy - i assumed the the bodies were made of the same substance, have the same mass and obviously they have the same difference in temperature - and this will gonna be absorbed by the surrounding (pre-cooled) body.

- If the bodies are made of different materials, but have the same mass:
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The specific heat capacity of the substance determines the time required to reach a certain temperature:
The low specific heat capacity, the faster it will lose - or gain - the heat energy, also the higher temperature that can be reached by a small amount of heat energy.

Example: Sand and water at the beach.
Sand is much hotter than the water in daylight although they are heated by the same amount of heat energy which comes from the sun.

- If the two bodies are made of the same material, but have the different masses:
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The body with smaller mass will lose - or gain - heat rapidly.

Answer 2

If the outside temperature were the same, the body would cool faster from the higher temperature (150 degrees). This is because the thermal gradient (the difference between the body and its surroundings) would be greater, which would drive a faster heat flow out from the body.

If the outside temperature is different, it can vary. For example, if the outside temperature is 50 degrees in the 150 to 100 case, but it is -50 degrees in the 100 to 50 case, the 100 to 50 cooling would happen faster.

Whenever you have a higher temperature difference, you have faster cooling.

Answer 3

100 deg C to 50 deg C would cool faster since there is a significant temperature difference
Newton's law of cooling