States of Matter - Result Question 41

####41. The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

(1981, 1M)

(a) critical temperature

(b) Boyle temperature

(c) inversion temperature

(d) reduced temperature

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Solution:

  1. It is the Boyle temperature $T _B$. At Boyle temperature, the first virial coefficient $(B)$ vanishes and real gas approaches ideal behaviour.

$$ T _B=\frac{a}{R b} $$

Here, $a$ and $b$ are van der Waals’ constants.



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