Question 1176218
The solution to the differential equation is given by:
T(t) = Ts + (T0 - Ts)exp(-kt), where Ts = the temperature of the surroundings
T0 = the initial temperature and k = the rate constant
We can use the information given to solve for k:
T(11) = 174 = 62 + (179 - 62)exp(-11k)
exp(-11k) = (174 - 62)/117 -> k = (-1/11)*ln((174 - 62)/117) = 0.0039705
You can now use this formula to solve for t, if T(t) = 154
Ans: 60.54 mins