One mole of a monoatomic real gas satisfies the equation $p (V - b) = R T$ where, $b$ is a constant. The correct relationship between interatomic potential $V (r)$ and interatomic distance $r$ for the gas is given by:

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
Given,
$p (V - b) = R T$
$\Rightarrow P V - P b = R T \Rightarrow \frac{P V}{R T} = \frac{P b}{R T} + 1$
We know that,
$\frac{P V}{R T} = Z Z = \frac{P b}{R T} + 1$
Hence, $Z > 1$ at all pressures.
This means that the repulsive forces will be dominant when the interatomic distance is small. Thus, the interatomic potential is never negative but becomes positive at small interatomic distances.
Hence, graph (c) is correct.

Suggest Corrections

Similar questions

Q. One mole of a monoatomic real gas satisfies the equation

p (V - b) = R T

where b is a constant. The relationship of interatomic potential V(r) and interatomic distance r for the gas is given by

Q. One mole of a monoatomic real gas satisfies the equation p (V-b) = RT where b is a constant. The relationship of interatomic potential V(r) and interatomic distance r for the gas is given by

Q. The potential energy

U

of a diatomic molecule is a function dependent on

r

(

interatomic distance

)

U = \frac{α}{r^{10}} - \frac{β}{r^{5}} - 3

. Where,

a

and

b

are positive constants. The equilibrium distance between two atoms will be

{(\frac{2 α}{β})}^{\frac{a}{b}}

, then

a =

________

One mole of an ideal monoatomic gas undergoes a process described by the equation $P V^{3}$ = constant. The heat capacity of the gas during this process is:

Join BYJU'S Learning Program

One mole of a monoatomic real gas satisfies the equation p(V−b)=RT where, b is a constant. The correct relationship between interatomic potential V(r) and interatomic distance r for the gas is given by:

One mole of a monoatomic real gas satisfies the equation $p (V - b) = R T$ where, $b$ is a constant. The correct relationship between interatomic potential $V (r)$ and interatomic distance $r$ for the gas is given by: