Don't assume the heat is just Chrome being Chrome and leave it running like that regularly - modern laptops throttle performance when hot, and sustained heat does wear components faster over time. That said, 15+ tabs is legitimately demanding, and some thermal stress on a thin machine like the XPS 13 is pretty normal; the fan noise is actually your system doing its job. Switching to Edge or Firefox might help slightly since they're generally more efficient with RAM, but the real fix is either closing tabs you're not using, using tab suspension extensions, or just accepting that heavy multitasking on an ultrabook gets warm. If it's hot enough that you can't comfortably rest your hands on the keyboard, check that your vents aren't clogged with dust and make sure you're using it on a hard surface, not a pillow or blanket.