Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0.280m and the length of the copper section is 0.720m . Each segment has cross-sectional area 5.90
for Copper rate of heta transfer is
PCu=kCuA(Tx-TCu)/LCu, where Tx is temperature at intersection
and for Brass
PB=kBA(TB-Tx)/LB
PCu=PB (condition for steady state transfer)
ie.kCuA(Tx-TCu)/LCu=kBA(TB-Tx)/LB
solving th ebaove equation we get
Tx=(kCuTCuLB+kBTBLCu)/(kCuLB+kBLCu)
putting all values
Tx=(400x273x0.28+109x373x0.72)/(400x0.28+109x0.72)=314.20~314K=41.0oC
P=A(TB-TCu)/)(LB/KB+LCu/KCu)
P=5.9x10-3(373-273)/(0.28/109+0.72/400)=135.32J/Sec
since P=Q/t
Q=Pt=135.32x5.x60=40596J (heat transfer in 5.3min)
also
Q=mL (where L for ice=334J/g)
m=Q/L=40596/334=121.55g~122g of ice is melted into water by conduction of composite system
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