Question

Density of carbon monoxide is maximum at:

• A. $2 \,atm $ and $600 \,K$
• B. $0.5\, atm$ and $273 \,K$
• C. $6 \,atm$ and $1092 \,K$
• D. $4 \,atm $ and $500 \,K$

Answer 1

Answer: (D)

From ideal gas equation ;

$d =\frac{ PM }{ RT }$

$\therefore M$ and $R$ are Constant for a particular gas

$\therefore d \propto \frac{ P }{ T },$ i.e.

(a) $\frac{ P }{ T }=\frac{2}{600}=0.0033$

(b) $\frac{P}{T}=\frac{0.5}{273}=0.00183$

(c) $\frac{P}{T}=\frac{6}{1092}=0.00549$

(d) $\frac{P}{T}=\frac{4}{500}=0.0080$

$\therefore P / T$ ratio is highest at $4\, atm$ and $500 \,K$.

$\therefore $ Density of $CO$ is maximum at this condition