Question

The perfect gas model assumes that the average separation between the atoms or molecules is so great that they move independently of one another. Use the perfect gas equation to calculate the average volume per atom or molecule for a gas at a temperature of 298 K and a pressure of 1.00 bar.

Answer 1

PV= nRT ideal gas equation or perfect gas equation

where P is pressure , V is volume , n is number of mole, R is universal gas constant, T is temperature.  

We will use this equation to find Number of atoms or molecules per unit average Volume

From question :- P = 1bar = 10⁵Pascal, R=8.314 J/K/mol, T=298K

PV= nRT

Or , P/RT = n/V

Or , n/V = P/RT

Or , n/V= 10⁵ /8.314×298

Or, n/V= 40.36 mol/m³

=40.36×6.022×10²³atoms Or molecules/m³ =251.039x10²³atoms or molecules/m³=2.51×10²³ atoms ormolecules/m³ Answer