# 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?

Aug 30, 2017

Yes, the water evaporates.

#### Explanation:

According to principle of calorimetry,

${Q}_{o} = {Q}_{w}$

${\left(m C \Delta T\right)}_{o} = {\left(m C \Delta T\right)}_{w}$

$4 \times 25 \times \left(270 - {T}_{f}\right) = 36 \times 4.2 \times {T}_{f}$

$\Rightarrow {T}_{f} \approx {107.5}^{o} C$

As ${T}_{f} > {100}^{o} C$ , the water evaporates