Question

You place a cup of 205F coffee on a table in a room that is 72F, and 10 minutes later, it is 195F. Approximately how long will it be before the coffee is 180F?

Answer 1

Using newton's law of cooling.
\[T(t) =T_A + ( T_O -T_A)^{-kt}\]

Answer 2

T(t) = Ta + (To-Ta)^(-kt)
Tell me what the following stand for:
T(t)
Ta
To
k
t

Answer 3

t(t) = Temperature of the coffee at time t (in min).
t(0) = Initial Temperature of the soup
t(a) = Ambient temperature (temp of water in sink)

Answer 4

of the coffee*, my copy and paste mistakes

Answer 5

Anyway maybe I'll show you my awesome problem solving skills some other time. Have fun:
http://openstudy.com/study#/updates/51f5e755e4b00daf471c9a8f

Answer 6

So t = 25 mins then ?..

Answer 7

trust satellite