Question

The density of $Neon$ will be highest at which of the following temperature and pressure?

• A. $STP$
• B. $0^{o}C,2atm$
• C. $273K,1atm$
• D. $273K,2atm$

Answer 1

The correct option is B $0^{o}C,2atm$

We know,

$PV=nRT$ $M$= mass

$P=\frac{M}{m}\frac{RT}{V}$ $m$= molar mass

$P=\frac{DRT}{m}$ $D$= density=$\frac{m}{V}$

$D=\frac{Pm}{RT}$ $R$= Universal gas constant

$n=\frac{M}{m}$ $T$= Temp

$P$= Pressure

$D\propto P$ and $D\propto \frac{1}{T}$

more is $P\to$higher is the density and less is $T$

So, $P=2atm$ and $T=0°C=273K$.

$\therefore$ $P$ is highest $=2atm$ and $T$ being lowest $=273K$, density of $Ne$ at this condition will be highest.