Chrome hits the battery pretty hard on my Nexus 7: ~20%/hr of surfing (this is the actual amount the battery indicator runs down).

Also updates will use quite a lot. So for example when it recently updated to Android 4.4.3 and a bunch of apps followed up over the next 3-4 days, running down the battery about double expected.

Leaving the wifi on overnight will use about ~5 -10% even when otherwise doing nothing.

I'm going to try the stock browser for a day and see if it makes any difference.