PV
= nRT
We
are solving for pressure. We are given the volume, which is 0.100 L (equivalent
to 100 mL). The temperature is 273.15 K (equivalent to 0 Celsius). All we need
to do is convert the grams to moles before we can solve for pressure.
N₂
has a molecular mass of 28.02. This means that 510 g N₂ (1 mole N₂/28.02 g
N₂) = 18.2 moles N₂
PV
= nRT
P
= nRT/V
R
is the gas constant. R = 0.08206 atmL/(Kmol)
P
= (18.2 mol)(0.08206 atmL/(Kmol))(273.15 K) / (0.100 L)
P
= 4.08 10^3 atm
The pressure is 4.08*10^3 atm.
