3. Air is ~70% N2 and "29% Oz which gives an average molar mass of 29x10 3kg. What is the mass of the average air particle? 4. There is a thermal energy associated with a single gas particle, it is U thermal, single particle = (3/2)ksT. Avogadro's Number, NA = 6.022x1023. a. Scale this up to include the total number of gas particles, N. b. In a cup of air, there is ~N=102 gas particles, and suppose the temperature is 27 C. Determine the total thermal energy of the cup of air. c. To put this to scale, consider the equivalent amount of energy to move the air up in potential energy. i. U. = mgh, but what is m? m is the total mass of the cup of air being considered. How does this relate to the mass of the single air particle, msingle particle? ii. Use msingle particle from the previous problem. d. Now that you have equations for Uthermal and Ug, equate them and determine how high you would have to vertically raise the gas to put in as much energy as the gas has stored in thermal energy