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:
- 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.