Heat And Thermodynamics

5 g of ice at \(-30^{\circ} \mathrm{C}\) and 20 g of water at \(35^{\circ} \mathrm{C}\) are mixed together in a calorimeter.
The final temperature of the mixture is (Neglect heat capacity of the calorimeter, specific heat capacity of ice \(=0.5 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\) and latent heat of fusion of ice \(=80 \mathrm{cal} \mathrm{g}^{-1}\) and specific heat. capacity of water \(=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\))