Question

If 10 g of the ice at $0^{o}C$ is mixed with 10 g of water at ${100}^{o}C$ , then the final temperature of the mixture will be

• A. $5^{o}C$
• B. ${10}^{o}C$
• C. $100K$
• D. $0^{o}C$

Answer 1

The correct option is B ${10}^{o}C$

solution

Heat absorbed by ice $=m{L}_f+ms△T$ice

$△Q_{absorb}=\left(10\right)\left(80\right)+\left(10\right)\left(1\right)(T-0)$

Heat released by water = M8 $△T_{water}$

$△Q$ release = 10(1)(100-T)

Note : $△T$ ice is the temperature change

in water that has been converted from water.

So, $△Q$ absorb = $△Q$ release

$\Rightarrow 800+10T=1000-10T$

$\Rightarrow T={10}^{\circ }C$

Option - B is correct.