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Four 2 cmxx2 cmxx 2cm cubes of ice are t...

Four `2 cmxx2 cmxx 2cm` cubes of ice are taken from a refrigerator are put in `200ml` of a drink when at `10^(@)C` (a) find the temperature is attained in it (b) If the ice cubes do not malt completaly find the amount melted Assumes that no beat is lost to the outside of the drink and that of ice `= 900 kg m^(-8)` densityof the drink `= 1000kgm^(-8)` specific head capacity og the drink ` = 4200 J kg^(-1)K^(-1)` latant beat capacity of drink of ice `= 3.4 xx 10^(6)Jkg^(-1)`

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The correct Answer is:
B, C

Here , Velume of ice ` = 2 xx 2xx 2 = 8 cm^(3)`
Total mass of ice` = 8 xx 0.9 xx 4 = 28.8g`
`:. ` Density of ice `= 0.9gm//cm^(3)`
ice
`mass = 28.8 g temp = 0^(@)C`
Drink
`mass = 200g , temp = 10^(@)C`
Heat required for melting
`= 28.8 xx 80 = 2304 cal
Heat required to drop to `0^(@)C`
` = 200 xx 10 xx 1`
` = 2000 cal`
Hence `2000 cal` releaced by drink must Have been utillised for melting of ice
So , amount of ice is melted bence the temp of the system remain at`0^(@)C`
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