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