To calculate the time it takes for a molecule of oxygen to diffuse through a membrane, we can use Fick's first law of diffusion. Fick's first law states that the rate of diffusion is proportional to the concentration gradient and the diffusion coefficient D of the substance.J = -D * dC/dx Where J is the diffusion flux, dC is the change in concentration, and dx is the distance over which diffusion occurs the thickness of the membrane .However, to provide an exact time for the diffusion, we need more information, such as the concentration gradient and the diffusion coefficient for oxygen at the given temperature and pressure.The factors that affect the rate of diffusion for oxygen or any gas through a membrane include:1. Concentration gradient: The greater the difference in concentration between the two sides of the membrane, the faster the rate of diffusion.2. Temperature: As temperature increases, the kinetic energy of the gas molecules increases, leading to faster diffusion rates. The diffusion coefficient is directly proportional to the temperature.3. Pressure: Higher pressure can lead to a higher concentration of gas molecules, which can increase the rate of diffusion. However, the relationship between pressure and diffusion is not always straightforward, as it depends on the specific gas and membrane properties.4. Membrane thickness: The thicker the membrane, the longer it takes for gas molecules to diffuse through it. The rate of diffusion is inversely proportional to the membrane thickness.5. Membrane material: The properties of the membrane material, such as its porosity and permeability, can greatly affect the rate of diffusion. Some materials may allow gases to pass through more easily than others.6. Molecular weight and size of the gas: Smaller and lighter gas molecules diffuse more quickly than larger, heavier molecules. Oxygen has a relatively low molecular weight 32 g/mol , which allows it to diffuse relatively quickly compared to larger molecules.7. Interactions between the gas and the membrane: Some gases may interact with the membrane material, either chemically or physically, which can affect the rate of diffusion. For example, polar gases may interact more strongly with polar membrane materials, leading to slower diffusion rates.In summary, to determine the exact time it takes for an oxygen molecule to diffuse through a 2 mm thick membrane, we need more information about the specific conditions, such as the concentration gradient and the diffusion coefficient at the given temperature and pressure.