Which famous palace was built for Louis XIV and is known for its grand French classical style?

The Palace of Versailles is the correct answer because it was specifically constructed for Louis XIV, who reigned as King of France from 1643 to 1715. This monumental palace is renowned for its opulent French classical architecture, embodying the ideals of grandeur and the absolute power of the monarchy during the time. The design of Versailles, with its extensive gardens, elaborate fountains, and richly decorated interiors, reflects Baroque artistry and symbolizes the king's desire to showcase the strength and glory of the French state.

In contrast, the other options reflect different historical and cultural contexts. The Palace of Buckingham serves as the official residence of the British monarch, located in London, and features a distinctive architectural style that is not solely representative of French classical design. The Palace of the Popes in Avignon reflects the influence of papal power during the 14th century and features medieval Gothic architecture. Lastly, the Palace of Schönbrunn in Vienna is an example of Habsburg imperial architecture, combining Baroque and Rococo styles, but it is not associated with Louis XIV or the French monarchy. Thus, the Palace of Versailles distinctly stands out as the exemplary representation of the grand French classical style commissioned by Louis XIV.