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10 gm of ice cubes at 0^(@)"C" are rel...

10 gm of ice cubes at `0^(@)"C"` are released in a tumbler (water equivalent 55 g) at `40^(@)"C"`. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly` "(L = 80 cal/g)"`

A

`31^(@)C`

B

`22^(@)C`

C

`19^(@)C`

D

`15^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `theta` be the temperature when thermal equilibrium has reached. Heat gained by ice to be converted to water at `theta^(@)`C
`=mL + mxx c xx(T-0) = 10 xx 80 + 10 xx 1 xx T`
65t = 2200-800 = 1400
`T=1400/65 ~~21.5^(@)C ~~ 22^(@)`C
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