don't worry about leaving it alone at home. as long as you leave sufficient food, a bowl of fresh water, a litterbox and comfortable bedding for it in your room, it will sleep most of the day, waiting for you to return home so that it can play with you.
just make sure you keep all your small little things eg eraser, pencils, rubber bands, pen caps, in the drawer so that it will not be swallowed.
good luck adopting it out. it's cute. black cats always look very mysterious. and they grow up to have this lustrous fur coat.