There is a rod that is split into two sections. The left side is copper with value of 390, temp of 100 degrees c and the length is 2m. The right side is silver, 420, temp 20 degrees celsuis, and length 1m.

Question

I need to calculate the temperature.

390 X 1 X 100-t / 2 = 420 X 1 X t-20 / 1

Is this how I would set it up to solve for the temp?

Thank you.

Answer 1

What are your 390 and 420 "values" and what are their units?

What temperature are you solving for? is this supposed to be a steady state problem?

Answer 2

I believe that 390 is the coefficient of thermal conductivity "κ" from
dQ/dt = κ•A•dT/dx.
The units of "κ" are watts/K• meters. Its value for cooper is 390.
As for the rest I'm in complete accord with drwls: what temperature ....