The amount of heat needed to heat \(200\,\text{g}\) of ice at \(-10^\circ\text{C}\) to convert it into water at \(30^\circ\text{C}\) is:
\[
\text{Specific heat capacity of ice}=2100\,\text{J kg}^{-1}\text{K}^{-1}
\]
\[
\text{Specific heat capacity of water}=4186\,\text{J kg}^{-1}\text{K}^{-1}
\]
\[
\text{Latent heat of fusion of ice}=3.35\times10^5\,\text{J kg}^{-1}
\]