Question

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

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,

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

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.

$Mass = Density \times Volume$

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

$Mass = 1356g$

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.

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

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

Volume = 1.68 L

The volume of liquid nitrogen is 1.68 L