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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