In the figure shown, AB is a rod of length 30 cm and area of cross-section 1.0 cm2 and thermal conductivity 336 S.I. units. The ends A & 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. Find the initial rate (in mg/s) at which ice melts in the box. [Assume latent heat of fusion for ice Lf=80 cal/gm]

In the figure shown, AB is a rod of length 30 cm and area of cross-sec

1.	In the figure shown, AB is a rod of length 30 cm and area of cross-section 1.0 cm2 and thermal conductivity 336 S.I. units. The ends A & 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. Find the initial rate (in mg/s) at which ice melts in the box. [Assume latent heat of fusion for ice Lf=80 cal/gm]
Answer» In the figure shown, $A B$ is a rod of length $30 cm$ and area of cross-section $1.0 {cm}^{2}$ and thermal conductivity 336 S.I. units. The ends $A$ & $B$ are maintained at temperatures $20^{\circ} C$ and $40^{\circ} C$ respectively. A point $C$ of this rod is connected to a box $D$ , containing ice at $0^{\circ} C$ , through a highly conducting wire of negligible heat capacity. Find the initial rate (in $mg/s$ ) at which ice melts in the box. [Assume latent heat of fusion for ice $L_{f} = 80 cal/gm$ ]

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