An ice cube of mass 100 g and at 0°C is dropped into a Styrofoam cup containing 200 g of water at 25°C. (The latent heat of fusion of water is 80 cal/g and the specific heat capacity of water is 1.0 cal/g C°.) Assuming the cup does not exchange any heat with the outside, what will happen?

Respuesta :

Explanation:

As we know that relation between heat energy and specific heat is as follows.

               Q = [tex]m \times C \times \Delta T[/tex]

Therefore, heat available will be calculated as follows.

                [tex]Q_{\text{available}} = m \times C \times \Delta T[/tex]      

                             = [tex]200 g \times 1 cal/g^{o}C \times (25 - 0)^{o}C[/tex]

                             = 5000 cal

Now, calculate the heat required as follows.

             [tex]Q_{\text{required}} = m \times L_{fusion}[/tex]      

                        = [tex]100 g \times 80 cal/g[/tex]

                        = 8000 cal

Hence, the heat required to melt the ice is more than the heat available for the reaction. Therefore, all the ice will not melt.      

Thus, we can conclude that what happens is that all the ice will not melt.