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Newton's law of cooling: temperature after a time or time to cool between two temperatures

This type of question, asked 7 times: 2021 Paper 13, 25 Jan 2023, 29 Jan 2023, 6 Apr 2023, 12 Apr 2023, 24 Jan 2025, 29 Jan 2025. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 13

    15
    In 5 min⁡5\text{ }\min, a body changes temperature from 75∘C75^{\circ}C to 65∘C65^{\circ}C at room temperature 25∘C25^{\circ}C. What temperature will it have after another 5 min⁡5\text{ }\min ?

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  2. Question 2

    25 Jan 2023

    12
    A bowl filled with very hot soup cools from 98∘C98^{\circ}C to 86∘C86^{\circ}C in 2 minutes when the room temperature is 22∘C22^{\circ}C. How long it will take to cool from 75∘C75^{\circ}C to 69∘C69^{\circ}C ?

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  3. Question 3

    29 Jan 2023

    27
    A body cools from 60∘C60^{\circ}C to 40∘C40^{\circ}C in 6 minutes. If, temperature of surroundings is 10∘C10^{\circ}C. Then, after the next 6 minutes, its temperature will be ____\_\_\_\_  ∘C\ ^{\circ}C.
  4. Question 4

    6 Apr 2023

    107
    A body cools in 7 minutes from 60∘C60^{\circ}C to 40∘C40^{\circ}C. The temperature of the surrounding is 10∘C10^{\circ}C. The temperature of the body after the next 7 minutes will be:

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  5. Question 5

    12 Apr 2023

    11
    A body cools from 80∘C80^{\circ}C to 60∘C60^{\circ}C in 5 minutes. The temperature of the surrounding is 20∘C20^{\circ}C. The time it takes to cool from 60∘C60^{\circ}C to 40∘C40^{\circ}C is:

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  6. Question 6

    24 Jan 2025

    91
    The temperature of a body in air falls from 40∘C40^{\circ}C to 24∘C24^{\circ}C in 4 minutes. The temperature of the air is 16∘C16^{\circ}C. The temperature of the body in the next 4 minutes will be :

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  7. Question 7

    29 Jan 2025

    94
    A cup of coffee cools from 90∘C90^{\circ}C to 80∘C80^{\circ}C in t minutes when the room temperature is 20∘C20^{\circ}C. The time taken by the similar cup of coffee to cool from 80∘C80^{\circ}C to 60∘C60^{\circ}C at the same room temperature is :

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