The initial temperature of the cool drink is .
Room temperature is .
After minutes temperature increased to then .
Newtons Law of Cooling : .
The change in temperature : .
Here is the temperature of the cool drink and is the surrondings temperatuture.
At the intital time : .
.
The general equation is .
Temperature of the cool drink at time is .
Substitute and in the equation .
.
Temperature of the cool drink at time minutes is .
Substitute in the above equation.
.
.
Find the temperature after minutes.
Temperature of the cool drink at time is .
Substitute and in the above equation.
Substitute in the equation .
The temperature after minutes is .
(b).
Find the time when the temperature is .
.
The temperature is after minutes.
(a) The temperature after minutes is .
(b) The temperature is after minutes.
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