Question

At the boiling point, the density of liquid nitrogen is 809 g/L and that of the gas is 4.566 g/L. How many liters of liquid nitrogen are produced when 241.0 L of nitrogen gas is liquefied at 77.36 K?

Answer 1

Answer on Question #61777 - Chemistry - General Chemistry

Question:

At the boiling point, the density of liquid nitrogen is 809 g/L and that of the gas is 4.566 g/L. How many liters of liquid nitrogen are produced when 241.0 L of nitrogen gas is liquefied at 77.36 K?

Solution:

1) As there are no any additional conditions are given we assume that given amount of gas is fully liquefied (no equilibrium gas phase).

2) Calculate the mass of nitrogen:

$$\text{Mass} = \text{volume} \times \text{gas density} = 241.0 \text{L} \times 4.566 \text{g/L} = 1100.406 \text{g}$$

3) Find the volume of liquid nitrogen of mass calculated in step 2:

$$\text{Volume} = \text{mass/liquid density} = 1100.406 \text{g}/809 \text{g/L} = 1.360 \text{L}$$

Answer:

1.360 L of liquid nitrogen is produced.

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