An unknown gas has a density of 2.36g/L at 298K and 110 kPa. Calculate its molar mass.

I would convert 110 kPa to atm and use the PV = nRT. We need to work on that formula little since density is given. Since n = moles/molar mass we can rewrite it as

PV = (grams/molar mass)*RT and
PV*molar mass = grams*RT
Since density is g/L, we can rewrite it as
P*molar mass = (g/V)RT and
P*molar mass = density*RT
Solve for molar mass.