Calculate the volume of nitrogen obtained from 200 liters of air if it is known that the volume

Calculate the volume of nitrogen obtained from 200 liters of air if it is known that the volume fraction of nitrogen in the air is 78%.

Given: V (air) = 200 l.
W (N2) = 78%
Find: V (N2) -?
Decision:
1. Let us write down the equation for obtaining atmospheric nitrogen from air using a nitrogen generator device.
O2 + 4N2 + 2C = 2CO + 4N2 – OBP, nitrogen was obtained with the participation of hot coke;
2. We make up the proportion:
1 mol of gas at normal level – 22.4 liters;
X mol (air) – 200 liters. hence, X mol (air) = 1 * 200 / 22.4 = 0.89 mol;
0.89 mol (air) – X mol (N2);
-1 mol -4 mol from here, X mol (N2) = 0.89 * 4/1 = 3.56 mol.
3. Find the theoretical volume of nitrogen:
V (N2) = 3.56 * 22.4 = 79.7 liters.
The practical volume is calculated taking into account the volume fraction of N2 in the air:
V (N2) = 0.78 * 79.7 = 62.16 liters.
Answer: the volume of nitrogen is 62.16 liters.