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Question

As shown in the figure at 200 K and 500 atm value of compressibility factor is 2 (approx). Then the volume of the gas at this point will be:
115215_b577ed1ba58449089fc4e53cc94faa45.png
  1. 0.09 L
  2. 0.065 L
  3. 0.657 L
  4. 0.01 L

A
0.657 L
B
0.065 L
C
0.01 L
D
0.09 L
Solution
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The expression for the compressibility factor is z=PVmRT.

On rearranging the above, expression, Vm=z.RTP.

Substitute values in the above expression:

Vm=2×0.082×200500=0.065L.

Thus the volume of the gas is 0.065L.

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