The pressure (p), temperature (T), and density () of dry air are related by the Ideal Gas Law: p = R T, where R is the dry air gas constant (287 J /...

The pressure (p), temperature (T), and density (ρ) of dry air are related by the Ideal Gas Law: p = ρ R T, where R is the dry air gas constant (287 J / kg K). Suppose a sample of dry air is in a hollow cube with 10 cm sides. What is the mass of the air in the cube if its pressure and temperature are 850 mb and

10ºC, respectively?  Hint: it may be helpful to convert the cube dimensions to the appropriate units before calculating the cube's volume.