could easily be overcome
Hardships can be obstacles that could be overcomed with effort.. you don't want to sound arrogant, you can say that these hardships to others were a "stop" sign but to you is a bump in the road, whether it's a high one or a small one, easy or hard to overcome..
I am constantly persistent with my goals and I do not have "giving up" in my vocabulary.
Cliche, overly used..
Oh my God.. I can totally relate you to myself. I, too, intend on being a chemical engineer. I hope we both do well!
I like your essay, and I like how chemistry is all over the place.. You do seem a bit arrogant in some part of the essay.. I do know that you're an achiever and you're a very smart girl, but the hardest thing to do for a smart successful student is to talk about herself and her positive qualities without sounding arrogant. I think that instead of writing good things about yourself, you should write a mini-event that happened to you combining between more than one quality..
Example:
To work around the obstacle I began to study and learn the material on my own, often going ahead of what was being taught in class. This contributed to the development of my work and study ethic.
I raised my hand excitedly, "Yes, Brianna?" the teacher called, surprised. "According to Charles's law, when the pressure increases, the volume decreases, which explains the phenomena you've just mentioned." I said. "Well Brianna, someone's getting ahead of her class, don't you think?" the teacher said.
Something like that.. get your reader into the mood... and make it sound that it's from another person's point of view (like making the teacher say that ur ahead of ur class instead of you stating it).. you don't have to narrate the ecxact situation, but something close that would fit and do the job..