Calculate the mass of N2 that can be obtained from 660 m3 of air if the volume fraction of nitrogen in the air is 0.78.

| September 18, 2021 | education

The first step is to calculate the amount of nitrogen in the air.

V (N2) = 660 * 0.78 = 514.8 m3

Now we need to convert the volume from cubic meters to liters. Conventionally, 1 cubic meter is equal in volume to 1000 liters. So the volume of nitrogen is 514.8 * 1000 = 514800 liters.

To calculate the mass of the gas, you must first calculate the amount of nitrogen substance. Conversion formula:

n = V / Vm, where V is the gas volume, Vm is the molar volume of the gas. Vm = 22.4 l / mol is a constant according to Avogadro’s law

n = 514800 / 22.4 = 22982 mol

Now, by the amount of substance, we calculate the mass of the gas using the formula:

m = n * M, where n is the amount of substance, M is the molar mass. M (N2) = 28 g / mol

m = 22982 * 28 = 643496 g. = 643.496 kg.

Answer: the mass of nitrogen is 643.496 kg.



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