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JEE Advanced2023ChemistryStates of MatterActual

A gas has a compressibility factor of 0 . 5 and a molar volume of 0 . 4 dm 3 mol - 1 at a temperature of 800 K and pressure x atm . If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be y dm 3 mol - 1 . The value of x / y is _________ [Use: Gas constant, R = 8 × 10 - 2 L atm K - 1 mol - 1 ]

Correct answer

0

Step-by-step solution

Compressibility factor ( Z )= V real   V ideal = 0 . 5 V real   = 0 . 4 dm 3   mol - 1 = 0 . 4   L / mol ∴    V ideal   = 0 . 4 0 . 5 = 0 . 8   L / mol ∴     y = 0 . 8   L / mol Using ideal gas equation : PV = nRT P = 1 × 8 × 10 - 2 × 800 0 . 8 x = 80   atm ∴    x y = 80 0 . 8 = 100

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