newtons law of colling if a temperature of a tea was 172 F what would it be its final temperature if it was left standing for 10 misn in a room where the surrou

Question

if a temperature of a tea was 172 F what would it be its final temperature if it was left standing for 10 misn in a room where the surrounding is 76 F ? use the newtons law of cooling a given constant K=o.03

Answer 1

Newton's law of cooling:

 

T(t) = T_s + [T(0) - T_s]e^-kt

 

T_s = temperature of surroundings = 76°F

 

T(0) = initial temperature = 172°F

 

k = 0.03 with no units given.  It must be units of temperature/time, such as °F/s or °F/min.  You need to state the units of k.

 

t = 10 minutes = 600 s (I assume that is what you meant to say, instead of "misn".)

 

Plug in the numbers and get T(t).  Be sure to work with k and t in compatible units.