What is the benefit of the spiraled shape? More efficient? If so how come…also why not have an impeller inside a straight tube?
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The spiral shape, and the offset inlet where exhaust gases come into the turbo is the best angle for pushing the turbine. Remember those [toy windmills](https://image.shutterstock.com/image-photo/plastic-windmill-colors-rainbow-on-600w-1970693054.jpg) we had as kids? if you blow on it from the side, it spins much easier/faster than blowing on it from the front. Similar idea here, but more efficient because the air is pushing on the turbine all the way around the spiral, not just from one point.
On the compressor (cold air going into the engine) side, the spinning impeller is going to force air around the spiral and out of the end of it, into the engine
[This image](https://dieselnet.com/tech/images/air/turbo/~turbocharger.jpg) shows quite well how as the exhaust gases flow around the spiral they push the turbine
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