Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K.
Researchers often purchase liquid nitrogen in insulated 185 L
tanks. The liquid vaporizes quickly to gaseous nitrogen (which has
a density of 1.15 g/mL at room temperature and atmospheric
pressure) when the liquid is removed from the tank. Suppose that
all 185 L of liquid nitrogen in a tank accidentally vaporized in a
lab that measured 10.00 m times 10.00 m times 3.50 m.
Part A
What maximum fraction of the air in the room could be displaced by
the gaseous nitrogen?
Answer: Vgas/Vroom
Volume of room V(room)= 10.00 x 10.00 x 3.50 = 350 m3
Volume of liquid nitrogen = 185 L = 185 x 103 mL
Density of liquid nitrogen = 0.808 g/mL
Mass of nitrogen = volume x density
= 185 x 103 x 0.808 = 149480 g
Density of gaseous nitrogen = 1.15 g/L
Volume of gaseous nitrogen V(gas) = mass/density
= 149480/1.15 = 1.30 x 105 L = 130 m3
Fraction of air displaced
= V(gas)/V(room)
= 130/350 = 0.371
Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase...
A 1.0 L container of liquid nitrogen is kept in a closet measuring 1.1 m by 1.1 m by 2.0 m.Assuming that the container is completely full, that the temperature is 20.3℃, and that the atmospheric pressure is 1.2 bar, calculate the percent (by volume) of air that is displaced if all of the liquid nitrogen evaporated. (Liquid nitrogen has a density of 0.807 g mL-1.)