Question

$15$ $g$ ice at $0^{\circ }C$ is mixed with $10$ $g$ water and ice in the mixture. final temperature will be in ${}^{\circ }C$?

Answer 1

As the common amount and tamp difference of water with respect to ice is not much. Assume that the final temperature in $O^{o}C$.

Verification

Heat released by water $=ms|st|$

$=\left(10\right)\left(1\right)|0-10|$

$=100cal$

Heat absorbed by ice $=100cal$

Let $gm$ of ice has been melted.

If $x\le 15g$ (mass of ice initially) our assumption is right relse wrong

So,

Heat required for melting $x=/F$

$\left(80\right)x=100\Rightarrow =1205g$

As $x=1.25g<15g$ our assumption is right and final temp is $0^{o}C$