Let (i will write most of the time) be the temperature of the wine at time .
Let (or ) be the rate at which the wine is cooling
Let be the ambient or surrounding temperature.
And let be an arbitrary constant to be determined later
Then by Newton's Law of Cooling, we have:
....now there's a formula that allows us to jump right to this step, but i'm horrible at remembering formulas, so i usually work it out.
So our equation is:
Now let and solve for in minutes