Questions 3 – 5 refer to the diagram below, which shows composite bars made from sections of
two metals, P and Q, of conductivities of 400 W m -1 K -1 and 200 W m -1 K -1 respectively. P and Q
are both of cross-sectional area 1.00 X 10 -2 m 2 . The structures are perfectly lagged and a
temperature difference of 40 K is set up across their lengths.
40 K
40 K P
P Q Q
50.0 cm 50.0 cm 50.0 cm
Q3. What is the rate of heat flow under steady state conditions with P and Q in series?
A) 107 W
B) 120 W
C) 480 W
D) 240 W
Note that the effective k for a series composite of two slabs, k series = k 1 k 2 / (k 1 + k 2 )
Q4. What is the rate of heat flow under steady state conditions with P and Q in parallel?
A) 120 W
B) 480 W
C) 240 W
D) 107 W
Note that the effective k for a parallel composite of two slabs, k parallel = k 1 + k 2
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