Ask Question
30 March, 20:22

A thermometer reading 10 degrees C is brought into a room with a constant temperature of 38 degrees Upper C. (a) If the thermometer reads 14 degrees C after 4 minutes, what will it read after being in the room for 6 minutes?

+3
Answers (1)
  1. 30 March, 20:33
    0
    We shall apply Newton's laws of cooling.

    dT / dt = k (T₁ - T₂)

    dT is change in temperature in time dt, k is constant, T₁ and T₂ are temperature of cold object and hot surrounding respectively.

    For the first case of 4 minutes

    (14 - 10) / 4 = k [ (14+10) / 2 - 38 ], T₁ = (14+10) / 2, the average temperature

    1 = - 26 k

    Using the formula for next two minutes

    T-14 / 2 = k [ (14+T) / 2 - 38 ]

    T-14 / 2 = 1/26[ 38 - (14+T) / 2 ]

    T / 2 - 7 = 1.46 -.27 - T / 52

    T/2 + T/52 = 7 + 1.46 -.27

    =.52 T = 8.19

    T = 15.75 degree
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A thermometer reading 10 degrees C is brought into a room with a constant temperature of 38 degrees Upper C. (a) If the thermometer reads ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers