What was studied at the Institute of Noble Virgins:
The daughters of nobles from 6 to 18 years of age studied at the Smolny Institute. The subjects of study were: the law of God, French, arithmetic, drawing, history, geography, verbality; in addition, dances, music, craftsmanship and various types of household were studied. In the Smolny Institute, subjects of secular treatment were also taught.

And after Paul's coming to power, his wife Maria Fedorovna further changed her education toward "women's duties."
Do you really think that with this education, you can grow a scientist? Three haha. Women are taught as future mothers.No one ever thought that a woman could do science.
A woman must be the perfect sewing, weaving, carpentry, and cook; she must divide her existence between the children's room and the kitchen, the basement, the wardrobe, the yard and the garden. End of quote.