Well this is more of a chemistry question then math questions. It depends on a few factors which you haven't listed. Gas properties under normal conditions can be found using the gas law equation: PV=mRT, where 'P' is the pressure of the gas; V is the volume of the gas; m is the mass of the gas; R is the gas constant; and T is the temp of the gas. So to answer your question, someone would need to know what pressure of the air, the temp of the air. R can be looked up on a chart in most chemistry books or thermodynamics books and V you have given to us. One you have P and T you can solve for m, in kg.
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That depends on the pressure and temperature of the air in the cubic meter. Any time you change the pressure or the temperature of a gas, you change the number of molecules in one cubic meter of it.
One cubic meter always has 1000 liters, no matter what is inside. On the other hand, 6 bars is approximately 6 times the normal atmospheric pressure, so - according to the ideal gas law - the cubic meter of compressed air would be equivalent to 6 cubic meters of "normal" air.
When it is at a lower pressure or a higher temperature.
Oh, dude, one cubic meter is equivalent to about 1,000 kilograms, which is like one metric ton. So, if you're into precision, it's technically 1 metric ton per cubic meter. But hey, who's counting, right?
You multiply the volume of the gas by its density. The volume will depend on the specific gas, and on the pressure and temperature of the gas. As an example, a cubic meter of air has a mass of approximately 1.2 kg/m3. For other gases, the numbers may be quite different.