A prototype sports ball for a new game is precisely inflated to a pressure of 7.3 psi at 25 degrees C. The ball is spherical with an inner bladder diameter of 22.8 cm. It is filled with air (Mw=28.97 g/mol). Not Avogadros number is 6.022 x 10^23 atom/mol.

a. Calculate the number of moles of air in the ball at the specified temperature and pressure. Consider the air in the ball to follow the ideal gas law.

PV=nRT

Where P is the absolute pressure of the air in atm, V is the volume of the ball, T is the absolute temperature in K, and R is the ideal gas constant.

b. How many oxygen atoms compose the air in the ball? Assume that the mole fraction of N2 in the air is 0.79 and the remainder of the air is 02.