Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP.’ Take the diameter of an oxygen molecule to be 3 A.

As an experienced tutor registered on UrbanPro, I'd be happy to help you with your question. To estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP (Standard Temperature and Pressure), we can utilize the concept of ideal gases and the size of oxygen molecules. Firstly, let's consider the diameter of an oxygen molecule to be 3 Angstroms, which is 3 x 10^-10 meters. The volume of a single oxygen molecule can be approximated using the formula for the volume of a sphere: V=43πr3V=34πr3 Where rr is the radius of the oxygen molecule, which is half of the diameter. So, r=3Angstroms2=3×10−10meters2=1.5×10−10metersr=23Angstroms=23×10−10meters=1.5×10−10meters Now, we can calculate the volume of a single oxygen molecule: Vmolecule=43π(1.5×10−10)3Vmolecule=34π(1.5×10−10)3 Vmolecule=43π(3.375×10−30)Vmolecule=34π(3.375×10−30) Vmolecule=4.5π×10−30Vmolecule=4.5π×10−30 Next, we need to calculate the volume occupied by Avogadro's number of oxygen molecules, which is the number of molecules present in one mole of oxygen gas. Avogadro's number, NANA, is approximately 6.022×10236.022×1023 molecules per mole. Voccupied=NA×VmoleculeVoccupied=NA×Vmolecule Voccupied=(6.022×1023)×(4.5π×10−30)Voccupied=(6.022×1023)×(4.5π×10−30) Voccupied=27.099π×10−7Voccupied=27.099π×10−7 Now, we need to find the volume of one mole of oxygen gas at STP. At STP, one mole of any ideal gas occupies approximately 22.4 liters or 22.4×10−322.4×10−3 cubic meters. So, the fraction of molecular volume to the actual volume occupied by oxygen gas at STP can be calculated as: Fraction=VoccupiedVSTPFraction=VSTPVoccupied Fraction=27.099π×10−722.4×10−3Fraction=22.4×10−327.099π×10−7 Fraction≈1.21×10−4Fraction≈1.21×10−4 So, the fraction of molecular volume to the actual volume occupied by oxygen gas at STP is approximately 1.21×10−41.21×10−4. read less