When $0.15 \; kg$ of ice at $0^{\circ} C$ is mixed with $0.30 \; kg$ of water at $50^{\circ} C$ in a container,the resulting temperature is $6.7^{\circ} C$. Calculate the latent heat of fusion of ice. (Given: $s_{\text{water}} = 4186 \; J \; kg^{-1} \; K^{-1}$)

• A
  $6.54 \times 10^{3} \; J \; kg^{-1}$
• B
  $6.48 \times 10^{3} \; kJ \; kg^{-1}$
• C
  $3.34 \times 10^{5} \; kJ \; kg^{-1}$
• D
  $3.34 \times 10^{5} \; J \; kg^{-1}$