Mavericks MacBook Air 2013 Battery Draining

Hello,

I recently installed Mavericks onto my Macbook Air 2013, Haswell, 128GB i5 model

I find that the battery drains very quickly; in general it only shows an estimate of less than 6 hours with just Chrome open. Before it used to be 10-12 hours+. I used to not notice when the battery percentage would go down; now every few minutes I notice it slowly decreasing.

I read that the computer needs time to index the hard drive but I do not see the Spotlight indexing.

What is going on? Does the computer need to go through one cycle of almost draining the battery from full in order to accurately preserve energy?

The computer went from 100% to around 78% over the span of around 2 hours... not good.

Why is my computer showing a decrease in battery life when Mavericks is supposed to increase it dramatically? Typing this message in a span of 10 minutes already dropped my battery life around 1-2%. (No hardware problems; flawless on Mountain Lion)

Thanks,

Sam