The collision diameter, d, of an H₂ molecule is about 0.25 nm = 2.5 * 10⁻¹⁰ m. For H₂ gas at 0 degrees celsius and 1 bar, calculate the following:
a. Root-mean-square velocity
b. The translational kinetic energy of 1 mol of H₂ molecules
c. The number of H₂ molecules in 1 mL of the gas
d. The mean free path
e. The number of collisions each H₂ molecule undergoes in 1 s
f. The total number of intermolecular collisions in 1 s in 1 mL of the gas
