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One mole of a monoatomic real gas satis...

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 gas is given by

A

B

C

D

Text Solution

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The correct Answer is:
C

`P(V-b) =RT`
`rArr PV - Pb = RT`
`rArr (PV)/(RT) = (Pb)/(RT) +1 rArr Z = 1 + (Pb)/(RT)`
Hence `Z gt 1 ` at all pressures . .
This means , repulsive tendencies will be dominant when interatomic distances are small .
This means , interatomic potential is never negative but becomes positive at small interatomic distances .
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