# How many litres of nitrogen gas would result from spilling 3 litres of liquid nitrogen at room temperature?

a) 2049 litres

b) 365 litres

c) 3 litres

d) 800 litres

### 4 Answers

- davidLv 72 months ago
I don't know the density of liquid Nitrogen ... This question is kind of screwy because the liquid Nitrogen must be at a temp of -150 deg, C (just an est. .. don't know it or want to look it up) so I will use 1,0 g/ml to make a guess.

3000 mL is about 3000 g

3000 / 28 = 107 mol

1 mole at STP occupies 22.4 L

107 X 22.4 = ~2400 L

of your 4 choices I would pick a

.. remember my numbers are just estimate so there is a lot of error

if the real density is about 0.85g/ml the calculations would be very close to answer a.

- Dr WLv 72 months ago
room temperature is not STP billrussell42

assuming room T = 20°C = 293K

density Liquid N2 = 808g/L

from the ideal gas law

.. PV = nRT

.. PV = mass / mw RT

.. V = (mass / mw) RT/P

then you should be able to follow

3L.. 808g.. 1 mol .. ..0.08206 Latm/molK * 293.15K

---- x ------ x ----- --- x--- ----- ---- ----- ----- ----- ---- ----- = 2081 L

1... . 1L.. .. 28.02g... .. ... .. .. 1 atm

*********

that doesn't match any of your choices... so YOU figure out what room temp means and update the calcs

- billrussell42Lv 72 months ago
density as a liquid is 0.808 g/cm³

3 L = 3000 mL = 3000 cm³

0.808 g/cm³ x 3000 cm³ = 2424 g

N₂ is 28.014 g/mol

2424 g / 28.014 g/mol = 86.53 mol

One mole of any ideal gas at STP has a volume of 22.41L

(old def of STP, 1 atm)

22.41 L/mol x 86.53 mol = 1939 L