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 ]
A. A
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
Related: Chemistry — States of Matter · All PYQ Banks