Separate arias
A search Goethe's Faust and the ballet and the opera disclose no such item.
In an opera, all the main characters have arias.
Faust
Carmen
No, the opera Faust was composed by Charles Gounod. If you are asking who wrote the main story of Faust with which the opera is based, it is Johann Wolfgang von Goethe.
Separate arias
The website jimstockigtinfo.com lists many arias with obbligato bassoon, published and unpublished.
A search Goethe's Faust and the ballet and the opera disclose no such item.
The Opera Faust was composed by Charles-Francois Gounod
Its Faust that is being rehersed and preformed
In an opera, all the main characters have arias.
Faust
homophonic
Carmen
Solo performances in opera are called arias from the Italian word for "air".
The main songs in operas are arias and deuts etc.