A cylindrical drink can (d = 64 mm, h = 103 mm) is taken out of a fridge at ϑ F0 = 6 ◦C and placed in a room where the air temperature is ϑ A = 24 ◦C. Calculate the temperature ϑ F of the can after it...

A cylindrical drink can (d = 64 mm, h = 103 mm) is taken out of a fridge at ϑ_F0
= 6 ◦C and placed in a room where the air temperature is ϑ_A
= 24 ◦C. Calculate the temperature ϑ_F
of the can after it has been there for 2 hours. In addition to this find the time, t∗, it takes for the temperature of the can to reach ϑ_F
= 20 ◦C. The only meaningful resistance to the overall heat transfer between the air and the contents of the can is that on the outside of the can which is given by α_o
= 7.5W/m²K. The material properties of the drink are F = 1.0 · 103 kg/m³
and c_F
= 4.1 · 103 J/kgK.