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What is the diffusivity of oxygen gas in air at 25°C and 1 atm pressure? Assume ideal gas behavior and provide your answer in SI units.

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To calculate the diffusivity of oxygen gas in air at 25C and 1 atm pressure, we can use the Chapman-Enskog equation, which is given by:D =  3/16  *  k * T  /   * d^2 * P where:D is the diffusivity  m/s k is the Boltzmann constant  1.38064852  10 J/K T is the temperature in Kelvin  K d is the collision diameter  m P is the pressure  Pa First, we need to convert the temperature from Celsius to Kelvin:T = 25C + 273.15 = 298.15 KNext, we need to find the collision diameter  d  for oxygen gas. The collision diameter of oxygen is approximately 3.46  10 m.Now, we need to convert the pressure from atm to Pa:1 atm = 101325 PaNow, we can plug these values into the Chapman-Enskog equation:D =  3/16  *  1.38064852  10 J/K * 298.15 K  /   *  3.46  10 m  * 101325 Pa D  2.12  10 m/sSo, the diffusivity of oxygen gas in air at 25C and 1 atm pressure is approximately 2.12  10 m/s.
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