I can't picture a tub in the kitchen! But that aside, you have a clogged drain, and you have found what is often pointed out on this site. Chemical drain cleaners don't work on drain clogs. They might get a trap that is full of grease, soap scum, and hair, but once your drain line is clogged, there's only one thing to do. Get your drain professionally augered. DIY augers usually will only shove the clog deeper and tighter, so get a pro that will do it right and be done with it.