The Heat of Fusion for Lead At $327^{\circ} \mathrm{C}$ Is $22.9 \mathrm{~kJ} / \mathrm{kg}$

The heat of fusion for lead at $327^{\circ} \mathrm{C}$ is $22.9 \mathrm{~kJ} / \mathrm{kg}$ and the specific heat of solid lead is $0.130 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}$ , the specific heat of liquid lead is $0.0900 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C}$ , and the heat of vaporization of lead at $1,620^{\circ} \mathrm{C}$ is $871 \mathrm{~kJ} / \mathrm{kg}$ . What is the energy needed to vaporize 100 grams of lead starting at $0^{\circ} \mathrm{C}$ ?

A) $156 \mathrm{~kJ}$
B) $189 \mathrm{~kJ}$
C) $105 \mathrm{~kJ}$
D) $147 \mathrm{~kJ}$
E) $176 \mathrm{~kJ}$