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Consider one mole of a real gas A, with equation of state $P (V - b) = R T$ where ‘b’ is a constant. Which of the following is/are correct statement(s) about A?
P = pressure, V=volume, T-temperature in Kelvin $R = 8.314 J K m o l^{- 1}$

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Potential energy of A, due to intermolecular forces, is either greater than (or) equal to that of ideal gas

Compressibility factor (Z) of A is directly proportional to ‘P’.

If 5J of heat is given to A and 2J work is done by the A then, its internal energy increases by 3J which is true for ideal gas also

Density of A is less than ideal gas $\forall$ P > 0

answer is A, B, C.

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Detailed Solution

(A) z > 1 $\frac{d_{i}}{d_{r}} > 1 \Rightarrow d_{r} < d_{i}$
(B) Always repulsions z > 1
(C) First law of thermodynamics is valid for real gas (or) ideal gas
(D) ‘z’ linearly varies with p.

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