Question

Jodi poured herself a cold soda that had an initial temperature 36 degrees F and immediately went outside to sunbathe where the temperature was a steady 99 degree F. After 5minutes the temperature of the soda was 46 degree F .Jodi had to run back into the house to answer the phone . What is the expected temperature of the soda after an additional 13 minutes ?

Answer 1

this can be solve using newtons heating of cooling

(Ts – T) =(Ts – To)*e^(-kt)

Where Ts is the ambient temperature

To is initial temperature

T is the temperature at time t

t is the time

k is constant

fisrt solve the constant k for the given first scenario

(99 – 36) = (99 – 46)*e(-5k)

K = -0.0346

Using k, solve T at t = 13 min

(99 – 46) = (99 – T)*e(-13*(-0.0346)

T = 58.82 degree F