Respuesta :
An ideal gas follows the ideal gas law stating PV = nRT. Obtain the average volume/mole by solving for V/n. Divide both sides by Avogadro’s constant Na. Multiplying n and Na gives the number of molecules N. V/N is the average volume/molecule. 250C is the room temperature = 298.15K. The atmospheric pressure is 101325 Pa or 1 atm. Each molecule in a gas is spaced evenly and placed in a lattice. To obtain the space taken up by a cube, find the cube root of V/N to obtain the average intermolecular distance. For small molecules such as N2 or H2, the angstroms order is 10^(-10) m. The intermolecular distance is about 10 times the small molecules.
P V = nRT
V⁄n=RT⁄P
V⁄(nNa )=RT⁄(PNa )
V⁄N=((8.314 J/(mol.K))(298.15K))/((101325Pa)(6.02×10^23 molecules/mol))≈4.06×10^23 m^3/molecule
∛(V/N)≈3.44×10^(-9) m = 3.44 nm
The intermolecular distance is about 10 times the small molecules.
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