a) Calculate (in meters) the thermal wavelength for helium gas (4 g/mol) at 300 K.

b) Using your result from the previous question, calculate the single molecule partition function for a helium atom in a cubic millimeter.

c) Continuing still with the helium example, what is the total partition function for 1000 helium atoms in a cubic millimeter? Even for only 1000 particles, the result will be far too large for a calculator. Therefore, answer with the natural log of Z_N, ln(Z_N). You will need to employ Stirling's approximation.