The Specific Heat of Ice Is $2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}$

The specific heat of ice is $2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}$ , the heat of fusion for ice at $0{ }^{\circ} \mathrm{C}$ is $333.7 \mathrm{~kJ} / \mathrm{kg}$ , the specific heat of water $4.186 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}$ , the heat of vaporization of water at $100^{\circ} \mathrm{C}$ is $2,256 \mathrm{~kJ} / \mathrm{kg}$ , and the specific heat of steam is $2.020 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}$ . What is the final equilibrium temperature when 40.0 grams of ice at $0{ }^{\circ} \mathrm{C}$ is mixed with 8.00 grams of steam at $120^{\circ} \mathrm{C}$ ?

A) $38.76^{\circ} \mathrm{C}$
B) $50.22^{\circ} \mathrm{C}$
C) $41.67^{\circ} \mathrm{C}$
D) $25.67^{\circ} \mathrm{C}$
E) $32.55^{\circ} \mathrm{C}$