Specific heat of air is 0.24 BTU/lb/degree F
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The specific heat of air at 0 degrees Celsius is 1.01 Joules per gram or J/g. The specific heat of a substance is defined as the quantity of heat per unit mass needed to raise its temperature by one degree Celsius.
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You could measure the weight of a recipient with air, and compare it to one without air (with a vacuum instead).
That depends on the mass, pressure, and temperature of the air in the cubic meter.