Calculate density in the following cases : (a) Air (ideal gas) at temperature 0°C and pressure 2 atm (b) Helium (ideal gas) that fills a 10-m³ volume at temperature 25ºC, whose gauge pressure reads 1.5 atm (c) Granular iron of spherical grains of average diameter D = 1mm packed in a 1-grain/mm3 arrangement (density of iron p = 9g/cm³). Assume that the void in each mm³ is filled with air. Discuss why the result is expected. Make the same computation if the average diameter of the spherical grains are D = 0.25 mm packed in a 64-grain/mm³ . Discuss why the result for the density of both arrangements is the same.

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Units and Dimensions

Dimensions are the basic concepts of the measurement of quantities. Units are the means of expressing the dimensions. For instance, an area has a dimension of L2 and a unit of m2.