Asked by EE
This exercise uses Newton's Law of Cooling.
A kettle full of water is brought to a boil in a room with temperature 20°C. After 15 minutes the temperature of the water has decreased from 100° to 75°C. Find the temperature after another 13 min. (Round your answer to one decimal place.)
A kettle full of water is brought to a boil in a room with temperature 20°C. After 15 minutes the temperature of the water has decreased from 100° to 75°C. Find the temperature after another 13 min. (Round your answer to one decimal place.)
Answers
Answered by
oobleck
T(t) = 20 + (100-20)e^(kt)
using T(15) = 75, we have
20 + 80e^(15k) = 75
k = -0.025
So now find T(15+13)
using T(15) = 75, we have
20 + 80e^(15k) = 75
k = -0.025
So now find T(15+13)
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