The Ideal Gas Law is a fundamental relationship linking the pressure, temperature, and density of a gas. When using the Gas Law, pressure will be in units of Pascals (Pa) if temperature is expressed in Kelvins, density is expressed in kilograms per cubic meter (kg/m^3), and the gas constant is taken as 287 (its units would be m^2/s^2K).
a. Express Pascals in terms of the basic units of the International System, which (you may recall from Chapter 1) are meters (m), seconds (s), kilograms (kg), and Kelvins (K).
b. Calculate a typical air density at the earth’s surface assuming an air temperature of 68°F and average sea-level pressure.
c. Calculate the mass of the air in a room that is 6 m wide, 5 m long, and 3 m high. Assume an air temperature of 77°F and average sea-level pressure.