© Copyright, Department of Physics, University of Illinois at Urbana-Champaign

Two Blocks

Two blocks of different temperatures are brought together.

Block A is a 360-kg block is made of Material X which has temperature dependent specific heat. Its initial temperature is TA = 200° C. Block B is a 1000-kg iron block with an initial temperature TB = 27° C. The specific heat of Material X in the range of interest is cA = T*0.64 J/(kg K2) and the specific heat of iron is cB = 452 J/(kg K).

We bring the two blocks together and wait for them to reach a common equilibrium temperature Tf. If we assume that the two block system does not lose energy to the environment, then what is the change in entropy of the two block system?

0oC = 273.15 K

ΔS = J/K