Answer:
Explanation:
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
