According to the ideal gas law,
PV = nRT
=> V= nRT/P
= (W/M) RT/P
=> v= (WRT/PM)
=> PM/ RT = (W/V)
=> d = (PM/RT)
Where, P= pressure in atm V= Volume in liter, R= universal gas constant in lit atm mol -1 K -1 T= temperature at K ,
M = molecular weight, W= weight in grames, and W/V = d , is density in gm/ L
Now, pressure (P) = 758/760 = 0.9974 atm
T = (52.3 + 273.15) = 325.45 K
Molecular weight of Neon (M) = 20.1797 g/mol
So, density = { (0.9974× 20.1797) ÷ ( 0.082 × 325.45)}
= 0.737 g/L