A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 67°C, it is cooling at a rate of 1°C per minute. When does this occur? (Round your answer to two decimal places.)

Question

mathlogic · Answer

Use the newton formula given during ur lecture to solve. I remember this type of problem. YOU NEED THE FORMULA

3mar · Answer

$$ T(t)= T_a + (T_o-T_a) e^{-kt} $$ 

That is "Newton's Law of Cooling"

where
T(t) = Temperature of the soup at time t (in min).
T_o= Initial Temperature of the soup =95 deg.
T_a= Ambient temperature (20°C room)