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Q.

One end of a copper rod of length 1 m and area of cross-section 4.0×10−4m2 is maintained at 100oC. At the other end of the rod ice is kept at 0oC. Neglecting the loss of heat from the surroundings, the mass of ice melted in 1 hour is p×10-1kg. The value of p is…….. Given, KCu=400W/m−K and Lf=2.88×105J/kg

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Detailed Solution

Thermal resistance of the rod,R=lKA=1.0(400)4×10−4=6.25K/W∴ Heat current, H= Temperature difference  Thermal resistance =(100−0)6.25=16WHeat transferred in 1 h,  Q=Ht ∵H=Qt=(16)(3600)=57600JNow, let m mass of ice melts in 1 h, thenm=QL                      (Q=mL)=576002.88×105=0.2kg
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One end of a copper rod of length 1 m and area of cross-section 4.0×10−4m2 is maintained at 100oC. At the other end of the rod ice is kept at 0oC. Neglecting the loss of heat from the surroundings, the mass of ice melted in 1 hour is p×10-1kg. The value of p is…….. Given, KCu=400W/m−K and Lf=2.88×105J/kg