Calculate the volume of 1 mol of helium gas

a. Calculate the volume of 1 mol of helium gas (molar mass 4 g mol−1) at temperature 273 K and pressure 1.0×105Pa
b. i. Find out how much volume corresponds to each molecule of helium. ii. The diameter of an atom of helium is about 31 pm. Discuss whether or not the ideal gas is a good approximation to the helium gas in a.
c. Consider now 1 mol of lead (molar mass 207gmol−1, density 11.3×103kgm−3).
How much volume corresponds to each atom of lead?
d. Find the ratio of these volumes (helium to lead) and hence determine the order of magnitude of the ratio: separation of helium atoms to separation of lead atoms.