The density : 21.63 g/L
Further explanation
The gas equation can be written

where
P = pressure, atm
V = volume, liter
n = number of moles
R = gas constant = 0.08206 L.atm / mol K
T = temperature, Kelvin
T = 65+273=338 K
P=2.36 atm
MW Iodine gas (I₂)=254
The density :
