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A body takes 4 min. to cool from 61°C to 59°C. If the temperature of the surroundings is 30°C, the time taken by the body to cool from 51°C to 49°C is:

Option 1 -

6 min.

Option 2 -

3 min.

Option 3 -

4 min.

Option 4 -

8 min.

0 3 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

    -dT/dt = K [T - Ts]

    • (61-59)/4 = K [ (61+59)/2 - 30]
      -0.5 = K [60 - 30] = 30K
      So, K = -1/60 min? ¹
      Again
    • (51-49)/t = K [ (51+49)/2 - 30]
      -2/t = (-1/60) [50-30] = -20/60 = -1/3
      t = 6 min

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