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What is the diffusion coefficient of oxygen gas in air at a temperature of 25°C and 1 atm pressure?

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To calculate the diffusion coefficient of oxygen gas in air at a given temperature and pressure, we can use the Chapman-Enskog equation, which is a semi-empirical formula for estimating diffusion coefficients in gases. The equation is as follows:D =  3.0  10^-7   T^3/2   /  P   M1^1/3  + M2^1/3  ^2 where:D = diffusion coefficient  m^2/s T = temperature  K P = pressure  atm M1 and M2 = molar masses of the two gases  kg/mol For oxygen gas in air, we can assume that air is primarily composed of nitrogen gas  N2 . The molar masses of O2 and N2 are 32 g/mol and 28 g/mol, respectively. We need to convert these values to kg/mol:M1  O2  = 32 g/mol   1 kg / 1000 g  = 0.032 kg/molM2  N2  = 28 g/mol   1 kg / 1000 g  = 0.028 kg/molNow, we can plug in the given values for temperature and pressure:T = 25C + 273.15 = 298.15 KP = 1 atmD =  3.0  10^-7    298.15^3/2    /  1   0.032^1/3  + 0.028^1/3  ^2 D  2.12  10^-5  m^2/sSo, the diffusion coefficient of oxygen gas in air at 25C and 1 atm pressure is approximately 2.12  10^-5  m^2/s.
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