States of Matter - Result Question 31
####31. The density of neon will be highest at
(a) STP
(b) $0^{\circ} C, 2 atm$
(c) $273^{\circ} C, 1 atm$
(d) $273^{\circ} C, 2 atm$
$(1990,1 M)$
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Solution:
- The ideal gas equation, $p V=n R T=\frac{w}{M} R T$
$$ \begin{array}{rlrl} \Rightarrow & & p M & =\left(\frac{w}{V}\right) R T=d R T \quad(d=\text { density }) \ \Rightarrow & d & =\frac{p M}{R T} \end{array} $$
i.e. density will be greater at low temperature and high pressure.
