A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same l

Question

A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area (see figure below). One end of the compound bar is maintained at T_1 = 83.0 degree C, and the opposite end is at T_2 = 26.0 degree C. When the energy transfer reaches steady state, what is the temperature at the junction? (The thermal conductivity of gold is 314 W/m middot degree C, and that of silver is 427 W/m middot degree C.) Your response differs from the correct answer by more than 10%. Double check your calculations. degree C

Explanation / Answer

let T be the junction temperature

T1 = 83 + 273

T2 = 26+273

flow rate through Au = flow rate through Ag

K_Au*A*(T1-T)/L = K_Ag*A*(T-T2)/L

314*((83+273)-T) = 427*(T - (26+273))

T = 323.15 K

t = T - 273 = 50.15 degrees C <<<=======answer

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.