Question

The $P,V$ measurements for $100g$ of phosgene gas at ${25}^{\circ }C$ are given below:

$P/atm$	$V/d{m}^3$	$PV/atmd{m}^3$
$0.1$	$244.5$	$24.45$
$0.4$	$61.02$	$24.42$
$2.0$	$12.17$	$24.34$
$8.0$	$2.925$	$23.40$
$9.8$	$0.020$	$0.20$
$20.0$	$0.020$	$0.40$

By considering the above data and how inter-molecular forces affect the behaviour of gases, explain whether the sample of phosgene gas in behaving ideally.

Answer 1

Phosgene

Molecular wt. of phosgene(carbonyl chloride)

$=99$gm

$\therefore$ moles of phosgene(given)$=\frac{100}{99}-1.0101$

at temperature$={25}^o$C(constant)

p/atm v/$d{m}^3$ pv/atm $d{m}^3$

$0.1$ $244.5$ $24.45$

$0.4$ $61.02$ $24.42$

$2.0$ $12.12$ $24.34$

$8.0$ $2.925$ $23.40$

The above data shows at constant temperature the gas behave ideally(almost) by following

$p_1{v}_1=p_2{v}_2=pv=$constant

p/atm $v/d{m}^3$ pv/atm $d{m}^3$

$9.8$ $0.020$ $0.20$

$20.0$ $0.020$ $0.40$

As volume become constant for above two data so as $p_1{v}_1=p_2{v}_2$ is not so followed but separately as $P_1=9.8$ and $P_2=20.0$

and then $p_1{v}_1=\frac{p_2{v}_2}{2}$, thus gas do not behave ideally.