Consider lead, in what state will it be at each of the following temperatures?

a) 4000 degrees Celsius, b) 40 degrees Celsius, c) 400 degrees Celsius, d) 327 degrees Celsius.

Look up the melting point of Pb and the boiling point of Pb.

Then T < melting point it is solid.
T = m.p. equilibrium between liquid and solid.
T > m.p. but < b.p. is liquid
T > b.p. is vapor

To determine the state of lead at each of the given temperatures, we need to consult its phase diagram. A phase diagram shows the different phases (solid, liquid, gas) of a substance at various temperatures and pressures.

Unfortunately, as an AI text-based bot, I am limited in my ability to provide visual aids such as phase diagrams. However, I can describe the general properties of lead at different temperatures.

a) 4000 degrees Celsius:
At such a high temperature, lead would be in its gaseous state. It would have undergone vaporization and transformed into lead vapor.

b) 40 degrees Celsius:
Lead has a melting point of 327.5 degrees Celsius. Therefore, at 40 degrees Celsius, lead would be in its solid state. It would be in the form of a solid lead metal.

c) 400 degrees Celsius:
At this temperature, which is between the melting point of lead (327.5 degrees Celsius) and its boiling point (1749 degrees Celsius), lead would be in its liquid state. It would have a molten or liquid form.

d) 327 degrees Celsius:
At this temperature, which is equal to the melting point of lead, lead would be in the process of melting. It would exist in a partially solid and partially liquid state. This mixture is known as a eutectic mixture.

It is important to note that the properties of substances can vary slightly depending on factors such as pressure and impurities. Therefore, for precise and complete information, accessing a detailed phase diagram or conducting experimental measurements would be recommended.