Question

An object with a mass of `4 kg`, temperature of `270 ^oC`, and a specific heat of `25 J/(kg*K)` is dropped into a container with `36 L` of water at `0^oC`. Does the water evaporate? If not, by how much does the water's temperature change?

Answer 1

Yes, the water evaporates.

Explanation:

According to principle of calorimetry,

`Q_o = Q_w`

`(mCDeltaT)_o=(mCDeltaT)_w`

`4xx25xx(270-T_f) = 36xx4.2xxT_f`

`rArr T_f ~~ 107.5^oC`

As `T_f>100^oC` , the water evaporates