Question: Mozart composed the Serenade No. 5 for ceremonies at a university established in what year?

Context paragraphs:
University of Salzburg: The University of Salzburg, also known as Paris Lodron University (German: "Paris-Lodron-Universität Salzburg" , PLUS) named after its founder, Prince-Archbishop , is a public university located in the Austrian city of Salzburg.  It is divided into four faculties: Catholic theology, law, cultural and social science, as well as natural science.  Established in 1622, the university was closed in 1810 and re-established in 1962.  Today, it has around 18,000 students and 2,800 employees and is the largest educational institution in the State of Salzburg.

Serenade No. 4 (Mozart): The Serenade No. 4 in D major, K. 203/189ba was written in August 1774 by Wolfgang Amadeus Mozart for ceremonies at the University of Salzburg.  It is nicknamed Colloredo after Mozart's patron, Count Hieronymus von Colloredo.  The work is very similar to K. 204 serenade composed for Salzburg the following summer.

Prussian Quartets (Mozart): The Prussian Quartets are a set of three string quartets, nos. 21–23 (K. 575, 589, 590), nicknamed 'Prussian', composed by Wolfgang Amadeus Mozart between 1789–90 and dedicated to the King of Prussia, Friedrich Wilhelm II.  They were posthumously published in December 1791 by Artaria as Op. 18, only a few weeks after Mozart's death.  Although not considered on par with the earlier, more famous 'Haydn Quartets' (K. 387, 421, 428, 458, 464, 465), these pieces are noted for their beauty, equilibrium amongst the instruments and the exceptional prominence and cantabile nature of the cello part (the instrument played by the king himself).  These are also the only pieces in this genre that Mozart composed 'to order', i.e. as a commission from a royal patron.

Piano Concerto No. 24 (Mozart): The Piano Concerto No. 24 in C minor, K.  491, is a concerto composed by Wolfgang Amadeus Mozart for keyboard (usually a piano or fortepiano) and orchestra.  Mozart composed the concerto in the winter of 1785–1786, finishing it on 24 March 1786, three weeks after the completion of the Piano Concerto in A major.  As Mozart intended to perform the work himself, the soloist's part was not fully written down.  The premiere was in early April 1786 at the Burgtheater in Vienna.  Chronologically the work is the twentieth of Mozart's 23 original piano concertos.

Sonata for Two Pianos in D major (Mozart): The Sonata for Two Pianos in D major, K.  448, is a work composed by Wolfgang Amadeus Mozart in 1781, when he was 25.  It is written in strict sonata-allegro form, with three movements.  The sonata was composed for a performance he would give with fellow pianist Josepha Auernhammer.  Mozart composed this in the "galant" style, with interlocking melodies and simultaneous cadences.  This is one of his few compositions written for two pianos.  This sonata was also used in the scientific study that tested the theory of the Mozart effect, suggesting that classical music increases brain activity more positively than other kinds of music.

Oboe Quartet (Mozart): The Oboe Quartet in F major, K. 370/368b, was written by Wolfgang Amadeus Mozart in early 1781.  The quartet is scored for oboe, violin, viola and cello.  In 1780, Mozart was invited to Munich to visit Elector Karl Theodor, who had commissioned the opera "Idomeneo" for a carnival celebration.  While in Munich, Mozart renewed an acquaintance with Friedrich Ramm, a virtuoso oboist in the Munich orchestra.  It was for Ramm that Mozart composed the quartet in order to show off his virtuosity and the improvements that had been made to the oboe at that time.  One way that this piece showed off the instrument was the use of the "high F" above the staff, a note rarely played in any repertoire previously written for the oboe.

Serenade No. 5 (Mozart): The Serenade No. 5 in D major, K. 204/213a was written on August 5, 1775 by Wolfgang Amadeus Mozart for ceremonies at the University of Salzburg.  The work is very similar to K. 203 serenade composed for Salzburg the previous summer.

Piano Concerto No. 16 (Mozart): The Piano Concerto No. 16 in D major, KV.  451, is a concertante work for piano, or pianoforte, and orchestra by Wolfgang Amadeus Mozart.  Mozart composed the concerto for performance at a series of concerts at the Vienna venues of the Trattnerhof and the Burgtheater in the first quarter of 1784, where he was himself the soloist.  Mozart noted this concerto as complete on 22 March 1784 in his catalog, and performed the work later that month.  Cliff Eisen has postulated that this performance was on 31 March 1784.

Requiem (Mozart): The Requiem in D minor, K. 626, is a requiem mass by Wolfgang Amadeus Mozart.  Mozart composed part of the "Requiem" in Vienna in late 1791, but it was unfinished at his death on 5 December the same year.  A completed version dated 1792 by Franz Xaver Süssmayr was delivered to Count Franz von Walsegg, who commissioned the piece for a Requiem service to commemorate the anniversary of his wife's death on 14 February.

Serenade No. 10 (Mozart): The Serenade No. 10 for winds in B-flat major, K.  361/370a, is a serenade by Wolfgang Amadeus Mozart scored for thirteen instruments: twelve winds and string bass.  The piece was probably composed in 1781 or 1782 and is often known by the subtitle "Gran Partita", though the title is a misspelling and not in Mozart's hand.  It consists of seven movements.

Supporting paragraphs: Serenade No. 5 (Mozart) University of Salzburg
Answer: 1622