Prof. Mendeleev resigned from St. Petersburg University in 1890 and quit lecturing, so he would not have been involved with teaching students when the depicted events take place (1899 - 1904).
Woman says in French that she is going to France, but English subtitle says that she is going to England.
The movie was subtitled in English and also dubbed into English. These two versions do not match word for word, although the meanings are similar. Dubbing into English necessitated changing one character from an English tutor to a French tutor, but the subtitles do not reflect this.