How to replace wheel studs in the front passenger side

Did you just recently put on a different wheel?
They should not be snapping off like that and I suspect the wheel is not sitting up flat and the wheel is wobbling when driving and snapping the lugs.

Cannot tell zoom in the camera. Does the inside circle in the rim fit around that hub or does it hit slightly on the edge?
Is that the correct rim and you never answered my question. Did you just recently put on a different wheel?

I wanted a closeup inside this red circle.
Is that the correct rim and you never answered my question, Did you just recently put on a different wheel?
Why are you not answering my questions? I am trying to help you.

Why will you not answer these questions?
Is that the correct rim and you never answered my question? Did you just recently put on a different wheel?

Replace all the studs and swap that rim with the rear on that side, then tell me when the first stud snaps and from which or just see if the wheel fits around that center section or if it hits slightly.

Look closely at that center circle on those two wheels, that should give you your answer, they are not the same and most likely the wrong wheel.
The first time the studs broke might be because the wheel was not tightened down evenly or the lugs torque or whatever but the second time I suspect from the wrong wheel.
Look at those four high points on that circle, that is where I think it is not fitting over the hub/axle.

Here is what I think. These humps on this wheel are preventing the wheel from going on flat, because these humps are hitting the center spot where that big nut is. If you look at this picture where I circled those humps and compare it to that wheel that came off, that center hole is perfectly round on the wheel that came off, yet this new wheel has those four humps which leads me to believe this is the wrong wheel. That is why I keep asking you if this is a different wheel.

That is odd, the front and rear are usually the same wheel or at least the same size tire so you can rotate the tires front to rear once every 3,000 miles so the tires wear evenly.
I know you are not supposed to swap radial tires left to right after they have some miles on them. Has to do with the belts I believe, but I think you should find a wheel at a salvage yard off a 2010 Chevrolet Cobalt and use it. If you give me your zip code, I can see if there are any salvage yards near you with a wheel. Or you can look yourself at this nationwide database http://www.car-part.com/
You may need both front wheel too since the back are 15 and the other front is a 14.
Are these not factory wheels?

I found at least ten at two different yards. One twenty miles away and the other is nineteen miles away.
Looks like $60.00 each.

It looks better, but let me see it installed on the vehicle.