Question

A cylindrical copper rod of length 1.50 m and radius 2.00 cm is insulated to prevent heat loss through its curved surfac...


A cylindrical copper rod of length 1.50 m and radius 2.00 cm
is insulated to prevent heat loss through its curved surface. One
end is attached to a thermal reservoir fixed at 300 C; the other is
attached to a thermal reservoir fixed at 30.0 C.What is the rate at
which entropy increases for the rod–reservoirs system?

Answer

The given values are,

Physics homework question answer, step 1, image 1

Calculate the heat transfer for the given system.

Physics homework question answer, step 2, image 1

The rate of entropy decrease is associated with the reservoir at higher temperature (TH), and the rate of entropy increase is associates with the reservoir at lower temperature (TC). Thus, the rate at which the entropy increases can be calculated as,

Physics homework question answer, step 3, image 1

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