The rod connecting two reservoir and connected to a source is as shown in diagram. The rod is in steady state. Find the temperature of source, so that rate of melting of ice is 16 times that rate of vaporization. (Latent heat of vaporization is 540 Cal/gm and latent heat of fusion is 80 Cal/gm)

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​ d t d m ​ ​ Steam ​ = 16 1 ​ d t d m ​ ​ ice ​ = d t T − 100 ​ ​ Steam ​ = ( 3 Ak 2 ℓ ​ ) d m ​ = ( dt d t ​ ) steam ​ L V ​ ​ dt dQ ​ ​ Ice ​ = ( 3 Ak ℓ ​ ) T − 0 ​ = 16 ( dt dm ​ ) steam ​ L f ​ ​ 1 T ​ 2 T − 100 ​ ​ = 16 L f ​ L V ​ ​ ​ 2 T ( T − 100 ) ​ = 16 × 80 540 ​ ; T T − 100 ​ = 640 540 ​ ; 2 T T − 100 ​ = 8 × 80 540 ​ ​

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