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 10.0 grams of ice at $-15.0^{\circ} \mathrm{C}$ is mixed with 2.00 grams of steam at $120^{\circ} \mathrm{C}$ ?

A) $39.5^{\circ} \mathrm{C}$
B) $40.1^{\circ} \mathrm{C}$
C) $35.4^{\circ} \mathrm{C}$
D) $37.2^{\circ} \mathrm{C}$
E) $33.2^{\circ} \mathrm{C}$