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A cylindrical copper rod of length 1.30 m and radius 1.60 cm is insulated to pre

ID: 2251816 • Letter: A

Question

A cylindrical copper rod of length 1.30 m and radius 1.60 cm is insulated to prevent heat loss through its curved surface. One end is attached to a thermal reservoir fixed at 300

A cylindrical copper rod of length 1.30 m and radius 1.60 cm is insulated to prevent heat loss through its curved surface. One end is attached to a thermal reservoir fixed at 300 degree C; the other is attached to a thermal reservoir fixed at 30.0 degree C. What is the rate at which entropy increases for the rod-reservoirs system?

Explanation / Answer

length is L = 1.30 m

radius is r = 1.60 cm = 1.60 x 10^-2 m

the volume is V = pi x r^2 x L

the mass of copper rod is

m = p x V

where p is density of copper

the amount of heat is

Q = m x s x dT

where s is specific heat of copper and dT = (300 - 30.0) oC = 270 oC = 270 + 273 K

the entropy is

S = (Q/T1)

where T1 = 300 oC

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