To find the average distance between gas molecules at 0.0° C and 1.00 atm with 0.95 moles of gas in a volume of 0.0213 m³, first calculate the number density by multiplying the number of molecules in one mole (6.02 x 10^23) by 0.95 and then dividing by the volume. The calculation yields a number density of approximately 7.3 x 10^27 particles per m³. The pressure and temperature are not necessary for determining number density in this context. The average distance between molecules can then be estimated from this number density. Understanding the relationship between moles, particles, and volume is crucial for solving this problem.