square steel bar of side length w= 0.12 m has a thermal conductivity of k= 14.6
ID: 1500893 • Letter: S
Question
square steel bar of side length w= 0.12 m has a thermal conductivity of k= 14.6 J(s.m.degrees C) and is L= 2.5 m long. One end is placed under a candle so that the temperature is T1= 99 degrees C while the other end rests on a block of ice so that the temperature is a constant T2.
A)Input an expression for the heat transferred to the cold end of the bar as a function of time, using A= w2 as the cross-sectional area of the bar
. B) How much energy, in joules, was conducted in 1 hour, assuming T2 = 0 degrees C.
C) Input an expression for the mass of water melted in 1 hour using Q1 from above and Lf the latent heat of fusion. Comment
Explanation / Answer
A)
heat transfered is given by
Q/t = kA(T1-T2)/L
A = w^2
k = 14.6
T1= 99
therefore
Q= t xk w^2 (T2-T1)/L
B)
substituting given values
t = 60x60 sec = 3600sec
Q = 29971.8144 J
C)
we know that
Q = mLf
m = Q/Lf
m = 29971.8/ Lf
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