At the boiling point, the density of the liquid is 809 g/l and that of the gas is 4.566 g/l. how many liters of liquid nitrogen

Question

11 hours ago

13

are produced when 297.0 l of nitrogen gas is liquefied at 77.36 k?

1 answer:

KiRa [994] · Answer 1 · 2026-03-05T18:31:59+03:00

Result: 1.68 L of liquid nitrogen is generated during the gas liquefaction process.

Clarification:

This process involves transforming gaseous nitrogen into its liquid form.

The two states possess distinct densities, thus occupying varying volumes; however, the mass remains constant.

Step 1: Calculate the mass of nitrogen gas

Let’s determine the mass of nitrogen gas associated with 297 L.

The density formula is:

$Density = \frac{Mass}{Volume}$

With a density of nitrogen gas at 4.566 g/L and a volume of 297 L, we can compute the mass of nitrogen gas as follows:

Using these values yields:

$Mass = Density \times Volume$

$Mass = \frac{4.566g}{L} \times 297L$

$Mass = 1356g$

The mass of nitrogen gas calculates to be 1356 g.

Step 2: Derive the volume of liquid nitrogen from the mass obtained

The mass for liquid nitrogen remains the same.

With the density of liquid nitrogen at 809 g/L, we can substitute this into our formula to find the volume of liquid.

$Volume = \frac{Mass}{Density}$

$Volume = \frac{1356g}{809g/L}$

Therefore, the volume of liquid nitrogen is 1.68 L.