Question
A bar of aluminum (bar A) is in thermal contact with a bar of iron (bar B) of the same length and area. One end of the compound bar is maintained at Th = 75.5°C while the opposite end is at 30.0°C. Find the temperature at the junction when the energy flow reaches a steady state.
Answers
Damon
conductivity iron = FE
conductivity al = AL
temp difference over iron = 75.5 - T
temp difference over Al = T - 30
(75-T) (FE) proportional to Q
(T-30) (AL) same proportional to q because areas and lengths the same
so same Q through each
(75-T)(FE) = (T-30) (AL)
conductivity al = AL
temp difference over iron = 75.5 - T
temp difference over Al = T - 30
(75-T) (FE) proportional to Q
(T-30) (AL) same proportional to q because areas and lengths the same
so same Q through each
(75-T)(FE) = (T-30) (AL)
Damon
by the way the ratio of AL/FE is about 136/46
(you don't need units here because all you need is the ratio)
(you don't need units here because all you need is the ratio)
Chelsea
Thanks for your help! The only thing is that the AL and FE need to be switched around and then I got the correct answer. There is a picture that I forgot to post that has Aluminum by the 75.5 and 30 next to the Iron. Thanks again!
@gaming_kat
Thanks for the help