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What maximum fraction of the air in the room could be displaced by the gaseous nitrogen?

Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 201 L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 201 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured 12.00 m × 12.00 m × 3.50 m .

1 Answers

L
Lorine Rath

Feb 20, 2025

(12.00 m × 12.00 m × 3.50 m) = 504 m^3 = 504 x 10^3 L total in the room (201 x 10^3 mL N2) x (0.808 g/mL) / (1.15 g/L) = 141224 L N2 gas(141224 L) / (504 x 10^3 L) = 0.280 [the fraction of air displaced]... Show More

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