Question

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`

Answer 1

Correct Answer - 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