$100\,\text{g}$ of water at $25\,^\circ\text{C}$ is placed in an insulating cup. $50\,\text{g}$ of ice at $0\,^\circ\text{C}$ is then added to the water. The mixture is stirred until the water temperature drops to $0\,^\circ\text{C}$. $18\,\text{g}$ of ice is left unmelted. The specific heat capacity of water is $4.2\,\text{J g}^{-1}\,^\circ\text{C}^{-1}$. Which value does this experiment give for the specific latent heat of fusion of ice?
- A$210\,\text{J g}^{-1}$
- B$330\,\text{J g}^{-1}$
- C$580\,\text{J g}^{-1}$
- D$770\,\text{J g}^{-1}$