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

Answer : 1.68 L of liquid nitrogen are produced when the gas is liquefied.

Explanation :

We are converting gaseous nitrogen to liquid nitrogen.

Both of these substances have different densities. Therefore they will occupy different volumes . But they will have the same mass.

Step 1 : Find mass of nitrogen gas

So let us find out the mass of nitrogen gas occupied by 297 L .

The formula for density is,

Density of nitrogen gas 4.566 g/L and the volume occupied by it is 297 L.

Let us plug in these values to find the mass of nitrogen gas.

The equation can be modified as follows.

The mass of nitrogen gas is 1356 g.

Step 2 : Find volume of liquid nitrogen using the mass

The mass of liquefied nitrogen is also the same.

The density of liquid nitrogen is 809 g/L

Let us plug in this value of mass to find the volume of the liquid.

Volume = 1.68 L

The volume of liquid nitrogen is 1.68 L