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Q.

On a horizontal floor, two identical cylindrical vessels A and B are connected by a thin tube near their bottoms contain some water. When an ice block of volume $80 c m^{3}$ is gently put inside the vessel A, it gets half-submerged in the water. How much mass of water (in grams)will flow through the connecting tube during the process of melting of the ice cube? Density of water is $1000 k g / m^{3}$ and density of ice is $900 k g / m^{3}$

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answer is 16.

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Detailed Solution

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$80 c m^{3}$ of ice or 72 gms of ice displaced $72 c m^{3}$ of water when floating, since data specifies $40 c m^{3}$ to be submerged, the ice block must be in contact with horizontal surface on melting the excess $32 c m^{3}$ of water formed must distribute equally.

Hence the amount of water flowing to equalise pressure is 16 gm.

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On a horizontal floor, two identical cylindrical vessels A and B are connected by a thin tube near their bottoms contain some water. When an ice block of volume 80 cm3 is gently put inside the vessel A, it gets half-submerged in the water. How much mass of water (in grams)will flow through the connecting tube during the process of melting of the ice cube? Density of water is 1000 kg/m3 and density of ice is 900 kg/m3