Turbine will be a higher speed machine hence smaller
as i said I'm not expert, just learned enough to understand what it was that i was maintaining.
You'll want to expand in equal ratios
so from 9 bars(absolute) to 1 bar(absolute) in three stages, each stage would drop pressure by ratio cube root of 9, which isn't far from 2..
So your stage to stage blade area(or cylinder area) would change by same proportion.
Are you familiar with "isentropic expansion" ? It's a vertical line on the Molier chart...
Here's an article in Wikipedia that introduces basic vocabulary for turbine design.
There's two approaches - "impulse" and "reaction"
(our turbine alternated impulse and reaction stages)
Steam that's not near saturation behaves pretty much like any other gas so the principles in that wiki article will apply to your air.
Surely there's hobbyists who have done this and written books & articles
i'd explore those home machinist sites , were i building one. That Tubal Cain book i mentioned was surprisingly detailed.
anyhow - for starters you'll pick a velocity less than sonic and size your blade area to pass your flow at that pressure and density.
Our turbine's first stage was impulse so the nozzles were designed for substantial velocity.
And you need more expert advice than i can give. That Wiki article should have plenty of search terms to help you get started up the learning curve.
Are you anywhere near SE Florida? Contact "Florida Flywheelers"
http://www.floridaflywheelers.org/
their spring antique engine show is a genuine treat.