A real gas at a very pressure occupies

Options

A. more volume than that of an ideal gas under identical conditions
B. less volume than of an ideal under indentical conditions
C. same volume than that of an ideal gas under identical conditions
D. can't predict

Answer

A

Explanation

When the pressure is high, volume would be small. So, exclude volume `'b'` cannot be ignored. But as the pressure is high, the quantity `(a)/(V^(2))` may be neglected in comparison with `P`. So the van der Walls equation reduces to
`P(V-b)=RT`
`PV-Pb=RT`
`V=((RT)/(P)+b)`
i.e., `V_(real)=V_(i d eal)+b`
`:. V_(real) gt V_(i deal)`