States of Matter - Result Question 46

####47. A gas is said to behave like an ideal gas when the relation PV/T= constant. When do you expect a real gas to behave like an ideal gas?

(a) When the temperature is low

[1991]

(b) When both the temperature and pressure are low

(c) When both the temperature and pressure are high

(d) When the temperature is high and pressure is low

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Solution:

  1. (d) At low pressure and high temperature correction for 1 mole of a gas is negligible, i.e the effect of a/v2 and b becomes negligible.

Thus, the gas equation becomes

PV=nRT

PV=RT or PVRT=1 [Ideal gas equation]

Z=1, and gas shows ideal behaviour.



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