A pupil places $37\,\text{g}$ of ice at $0\,^{\circ}\text{C}$ into $100\,\text{g}$ of water at $30\,^{\circ}\text{C}$. After mixing, the water and the melted ice both have a final temperature of $0\,^{\circ}\text{C}$. There is no transfer of heat to the surroundings or from them. The specific heat capacity of water is $4.2\,\text{J g}^{-1}\,^{\circ}\text{C}^{-1}$. Determine the specific latent heat of ice.
- A$47\,\text{J g}^{-1}$
- B$341\,\text{J g}^{-1}$
- C$4700\,\text{J g}^{-1}$
- D$12\,600\,\text{J g}^{-1}$