Original amount: 80 books
1st month: 100 books
2nd month: 125 books
3rd month: 156.25 books
4th month: 195.3125 books
5th month: 244.14 books
6th month: 305.175 books
7th month: 381.46 books
8th month: 476.825 books
9th month: 596.03 books
10th month: 745.03 books
Thus, by the end of the 10th month, \(\boxed{745}\) books are expected to be donated to the library.
Thank you !!! I was so close to the correct answer, I appreciate you helping me.