$100\,\text{g}$ of water initially at $25^{\circ}\text{C}$ is placed in an insulated cup. Then $50\,\text{g}$ of ice at $0^{\circ}\text{C}$ is put into the water. The mixture is stirred until the water temperature drops to $0^{\circ}\text{C}$. At the end, $18\,\text{g}$ of ice has not melted. The specific heat capacity of water is $4.2\,\text{J g}^{-1}\,^{\circ}\text{C}^{-1}$. What value for the specific latent heat of fusion of ice is obtained from this experiment?
- A$210\,\text{J g}^{-1}$
- B$330\,\text{J g}^{-1}$
- C$580\,\text{J g}^{-1}$
- D$770\,\text{J g}^{-1}$