What is the balanced equation for this chemistry problem?

2PbS + 3O2 2PbO + 2SO2
PbS + 2PbO 3Pb + SO2

Racemic Mixtures
A solution in which both enantiomers of a compound are present in equal amounts is called a racemic mixture, or racemate. Racemic mixtures can be symbolized by a (d/l)- or ()- prefix in front of the substance's name. Since enantiomers have equal and opposite specific rotations, a racemic mixture exhibits no optical activity. Therefore it is impossible to tell a racemic mixture apart from an achiral substance using polarimetry alone. Note that the terms chiral and optically active should not be confused. It would be incorrect to say that a racemic mixture is achiral. Chirality is a property of individual molecules. Optical activity is a property of solutions. A racemic mixture consists of chiral molecules, but it has no net optical activity.

The process by which a racemic mixture is formed from chiral materials is called racemization. One way to do this is to mix equal amounts of enantiomeric substances. From this point of view, it may be puzzling that racemic mixtures are important. After all, what are the chances of obtaining any mixture in which two enantiomers are present in exactly equal amounts? It turns out that racemic mixtures actually occur with considerable frequency. Racemic mixtures are often formed when achiral substances are converted into chiral ones. This is due to the fact that chirality can only be distinguished in a chiral environment. An achiral substance in an achiral environment has no preference to form one enantiomer over another.

Skipper's correct. As for the states, I think you can figure it out if you note that all simple ionic compounds are solids at room temperature. To identify ionic compounds, look for compounds with a metal (+ a nonmetal). Molecular compounds (made of nonmetals) can be solid, liquid or gas but if the molecule is small (Like SO2 or O2) gas is a good guess. Also look for keywords (molten = liquid; oxygen gas.)