There is 20 kg of nitrogen in a cylinder at a temperature of 300 K and a pressure of 100 kPa.

There is 20 kg of nitrogen in a cylinder at a temperature of 300 K and a pressure of 100 kPa. What is the volume of the balloon?

The mass of nitrogen is 20 kg.
Temperature – 300 K.
Pressure – 100 kPa.
Determine the volume of the balloon.
In order to find the volume of the balloon, we use the following formula.
PV = nRT.
Next, we find the amount of substance.
n = m / M.
We convert the mass into grams.
m = 20 kg = 20,000 g.
M (N2) = 2 × 14 = 28 g / mol.
n = 20,000 g / 28 g / mol = 714.3 mol.
Next, we express the volume from the formula. (R = 8.31).
V = nRT / P = 714.3 × 8.31 × 300/100 = 17807 ~ 17.8 m ^ 3.
This means that the volume of the balloon is 17.8 m ^ 3.
Answer: V = 17.8 m ^ 3.