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250 G of Water at 30 °C is Present in a Copper Vessel of Mass 50 G. Calculate the Mass of Ice Required to Bring Down the Temperature of the Vessel and Its Contents to 5 °C. - Physics

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प्रश्न

250 g of water at 30 °C is present in a copper vessel of mass 50 g. Calculate the mass of ice required to bring down the temperature of the vessel and its contents to 5 °C.
Specific latent heat of fusion of ice = 336 × 103 J kg-1
Specific heat capacity of copper vessel = 400 J kg-1 °C-1
Specific heat capacity of water = 4200 J kg-1 °C-1.

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उत्तर

Given: water = 250 gm = 30 °C

mass of vessel = 50 gm

Final temperature = 5 °C

By the principle of calorimeter.

Heat given = Heat taken,

Let mass of ice = m gm

250 × 4.2 × (30 - 5) + 50 × 0.4 × 25 = m × 336 + m × 4.2 × 5

26250 + 500 = 336 m + 21 m

26750 = 357 m

m = 74.9 gm.

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अध्याय 10: Specific Heat Capacity and Latent Heat - Long Numericals

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आईसीएसई Physics [English] Class 10
अध्याय 10 Specific Heat Capacity and Latent Heat
Long Numericals | Q 7
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