Four 2 cm × 2 cm × 2 cm cubes of ice are taken out from a r…

Physics Thermodynamics Mix MCQ (Single Correct)

Four 2 cm × 2 cm × 2 cm cubes of ice are taken out from a refrigerator and are put in 200 m λ of a drink at 10 ºC.

Find the temperature of the drink when thermal equilibrium is attained in it.

If the ice cubes do not melt completely, find the amount melted. Assume that no heat is lost to the outside of the drink and that the container has negligible heat capacity. Density ofice = 900 kg/m 3 , density of the drink = 1000 kg/m 3 , specific heat capacity of the drink = 4200 J/kg-K, latent heat of fusion of ice = 3.4 × 10 5 J/kg.

Text Solution

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Sol. Given:-

Number of ice cubes
Volume of each ice cube
Density of ice
Total mass of ice,
Latent heat of fusion of ice,
Density of the drink
Volume of the drink
Mass of the drink

Let us first check the heat released when temperature of 200 ml changes from to .

Heat required to change four ice cubes into water

Since the heat required for melting the four cubes of the ice is greater than the heat released by water ( ), some ice will remain solid and there will be equilibrium between ice and water. Thus, the thermal equilibrium will be attained at .