[joules]

Sometimes the simplist things slip me up.  As part of a multistep question, I need to calulate the density of an ideal gas.

Knowing that density = RT/P and using R = 287 J/kg K , T = 298 K and P = 1 atm = 101325 Pa

Density = 101325 Pa/ (287 J/kg K)(298 K) = 1.1847 Pa kg/J

Does 1.1847 Pa kg/J = 1.1847 kg/m^3?

I can't find a conversion for Pa kg/J anywhere online so this makes me question my work.

[joules]

Figured it out.  I need to use the gas constant R in m^3 atm/mol K and multiply my denisty by the mw to get the proper units of kg/m^3

[Yggdrasil]

1 N = 1 kg m s^-2
1 Pa = 1 N m^-2 = 1 kg m^-1 s^-2
1 J = 1 N m = 1 kg m² s²

You can remember these formulas from the definitions of force, presssure, and work (energy):

Force (N) = mass (kg) * acceleration (m s^-2)
Pressure (Pa) = Force (N)/Area (m²)
Work (J) = Force (N) * Distance (m)

Another useful conversion is the fact that:
1 L atm = 101.3 J