Question

If a real gas following equation P(V - nb) = nRT, at low pressure then find the intercept ans slope of graph between d/p v/s P are respectively :

• A. $\frac{MR}{T}$, $\frac{M(RT{)}^2}{a}$
• B. $\frac{M}{RT}$, $\frac{Mb}{(RT{)}^2}$
• C. $\frac{Mb}{RT}$, $\frac{M}{(RT{)}^2}$
• D. $\frac{RT}{M}$, $\frac{b}{M(RT{)}^2}$

Answer 1

The correct option is B $\frac{M}{RT}$, $\frac{Mb}{(RT{)}^2}$

If a real gas following equation $P(V-nb)=nRT$, at low pressure then the intercept and slope of graph between $d/pv/sP$ are:

$\frac{M}{RT}$, $\frac{Mb}{(RT{)}^2}$ respectively.
$P(V-nb)=nRT$
$PV-Pnb=nRT$
$PV=n(Pb+RT)$
$PV=\frac{W}{M}(Pb+RT)$
$PM=d(Pb+RT)$

$\frac{P}{d}M=Pb+RT$

$\frac{P}{d}=\frac{Pb}{M}+\frac{RT}{M}$

$\frac{d}{P}=\frac{M}{Pb+RT}=\frac{Mb}{(RT{)}^2}P+\frac{M}{RT}$