As shown in Fig., AB is a rod of length 30 cm and area of cross section 1.0 $c m^{2}$ and thermal conductivity 336 SI units. The ends A and B are maintained at temperatures 20°C and 40°C, respectively. A point C of this rod is connected to a box D, containing ice at 0°C, through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is (assume latent heat of fusion for ice $L_{f}$ = 80 cal/g)

Question

Infinity Learn · Accepted Answer

Thermal resistance of $$AC=LKA=0.1336$$×$$10$$−$$4=103336=RThermal$$ resistance of BC $$=$$ $$0.2336$$×$$10$$−$$4=2RHeat$$ flow rates $$areH1=20R$$;$$H2=402R=20RH=H1+H2=40R=40$$×$$336103=13440103=13.44$$  WRate of melting of ice $$=HLf=13.44/4.280g/s=40$$ $$mg/s$$

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