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A.) The radius of a single atom of a generic element X is 139 picometers (pm)...

A.) The radius of a single atom of a generic element X is 139 picometers (pm) and a crystal of X has a unit cell that is face-centered cubic. Calculate the volume of the unit cell.

B.) A metal crystallizes in the face-centered cubic (FCC) lattice. The density of the metal is 19320 kg/m3 and the length of a unit cell edge, a, is 407.83 pm. Calculate the mass of one metal atom.

C.) The specific heat of a certain type of cooking oil is 1.75 J/(g·°C). How much heat energy is needed to raise the temperature of 2.98 kg of this oil from 23 °C to 191 °C?

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