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One of the approach to the study of real gases involves the analysis of a parameter Z called the compressibility factor `Z=(PV_(m))/(RT)` where P is pressure, `V_(m)` is molar volume, T is absolute temperature and R is the universal gas constant . Such a relation can also be expressed as `Z =((V_("m real"))/(V_("m ideal")))` (where `V_("m ideal ")` and `V_("m real")` are the molar volume for ideal and real gas respectively) . Gas corresponding `Z gt 1` have repluive tendenciesamong constituent particles due to their size factor, among constitutent particles . As the pressure is lowered or temperature is increased the value of Z approaches 1. ( reaching the ideal behaviour)
Following graph represents a pressure (P ) volume (V ) relationship at a fixed temperature (T ) for n moles of a real gas. The graph has two regions marked (I) and (II). Which of th following options is true.
image
A. `Z lt 1` in the reion (II)
B. `Z=` in the region (II)
C. `Z =1` for the curve
D. Z approaches 1 as we move from region (II) to region (I)

1 Answer

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Correct Answer - D
On moving from region (II) to region (I), pressure tends to zero. So, `Z rarr 1`.

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