Learn Russian: Мне было интересно прочитать исследование о длительности сна. - I was interested to read the research about sleep duration.

To express "It was interesting to me" or "I was interested [in doing something]," Russian almost always uses an impersonal construction: the person is in the Dative case (мне), paired with the neuter past-tense verb (было) and an adverb (интересно). The verb интересоваться (to be interested in) requires the Instrumental case for the object and sounds more like "I investigated / I was into [a topic]," which doesn't pair naturally with an infinitive action like прочитать.

Could I use the imperfective verb читать instead of the perfective прочитать here?

You could, but it slightly changes the focus. Using the perfective прочитать shows that your interest lay in the completed action: you wanted to read the study from start to finish to learn its results. Using читать would imply you were just interested in the general process of reading it.

Why does длительности end in -и after the preposition о? Shouldn't the Prepositional case usually end in -е?

The base word here is длительность (duration), which is a feminine noun ending in a soft sign (-ь). These nouns belong to the 3rd declension (like тетрадь or ночь). A key rule to remember for 3rd declension nouns is that they take the ending -и in the Prepositional case, rather than the standard -е.

Where does the word сна come from, and why is it in this case?