Essays / Selecting up to 5 universities - Opinions for my exchange study plan essay writing [2]

I'm currently 2nd year and preparing to apply exchange program next year. The application program allow me to select up to 5 universities but I can only submit one study plan essay(including academic backgrounds, motivation and study plan). So, I am confuse whether should I mention my fav top university in the essay or just mention general information about my motivation in the essay without mentioning any university names? Max word is 5000. Thank you....