States of Matter - Result Question 41

####41. At which one of the following temperature pressure conditions the deviation of a gas from ideal behaviour is expected to be minimum? [1996]

(a) $350 K$ and $3 atm$.

(b) $550 K$ and $1 atm$.

(c) $250 K$ and $4 atm$.

(d) $450 K$ and $2 atm$.

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Solution:

  1. (b) At low pressure and high temperature, real gas nearly behave like ideal gas. Hence, deviation is minimum from ideal behaviour.

AlAt high temperature and low pressure, the correction terms $(an^{2} / V^{2})$ and (nb) become negligible and thus, the deviation from ideal behaviour will be minimum.

42 .

(c) $P V=n R T$ or $P=\frac{n}{V} R T=C R T$.

Hence $1=1 \times 0.082 \times T$

$\therefore \quad T=\frac{1}{0.082}=12 K$



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