Read this line from frankenstein by mary shelley:

her victory was announced by an unusual tranquility and gladness of soul which followed the relinquishing of my ancient and latterly tormenting studies.

which definition of tranquility is most likely suited for this line?

uncommon or unusual: oxford english dictionary

anticipation or eagerness: free dictionary

expectation: merriam-webster dictionary

calmness: peacefulness: free dictionary

intonation based on rhythm.

the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.