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You are designing a system where a large piston is used to compress gases in a circular cylinder. In its uncompressed state, the gas in the cylinder...

You are designing a system where a large piston is used to compress gases in a circular
cylinder. In its uncompressed state, the gas in the cylinder is at 220C, but you don’t know the
pressure. The gas in the cylinder is made up of nitrogen and helium. The temperature change
as the piston is compressed is and increase of 145 C. As the piston is compressed, the pressure also
increases by 2000000 Pa. If there is 4 times as many atoms of nitrogen as helium, how many moles of helium are in the
cylinder?
Geometry:
Cylinder diameter d=2.7m
Cylinder air chamber length (uncompressed) L1=5.1m
Cylinder air chamber length (compressed) L2=0.25m
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8437646.docx

Solution: We will take the following assumptions.
a) Mixture of gasses behaves like an ideal gas.
Since it’s given that nitrogen atoms are four times more than the helium atoms
Let no. of moles...

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