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QUESTION

# What is the mass of 20.0 mL of nitrogen gas?

20 mL of N_2 gas is equivalent to 0.025 grams of N_2.

First, you need to know the ideal gas law, which states that one mol of an ideal gas (at standard temperature and pressure - STP) takes up 22.4 L of volume. Therefore, you can extrapolate that an unknown mol of N_2 would equal 20 mL in STP. By doing the math, you can calculate the mol of N_2 in this equation using the following formula: 1/22.4 =x/0.02. Therefore, 20 mL of N_2 is roughly equivalent to 0.000893 mol of N_2.

In one mol of N_2 there are 28.02 grams of mass (the molecular weight of N multiplied by two = 28.04 = one mol of N_2).

Doing more math, that brings us to 0.000893 mol x 28.04 grams = 0.025 grams of N_2.