The device shown in Fig. P.12.1 is used to measure the diffusion coefficient of oxygen (O 2
Question:
The device shown in Fig. P.12.1 is used to measure the diffusion coefficient of oxygen (O2) in water and various solutions at 10°C. The O2
sensor is used to measure the O2 mole fraction at the bottom of the pool as a function of time. In one experiment, water, initially pure, rests in a shallow pool with a depth of 0.3 cm. The device is initially purged with pure nitrogen. At time zero, the pure nitrogen purge stream is replaced by nitrogen containing 15.0 mole% O2. The absolute pressure in the device is 1.0 atm. At time t = 30 min, the O2 sensor at the bottom of the water pool indicates an O2 mole fraction of 1.9 × 10−6.
(a) Write down the equation and boundary conditions needed to describe mass transfer of O2 to the bottom of the water pool if the process is controlled by diffusion in the liquid.
(b) Using the data above, determine the diffusion coefficient of O2 in water for these conditions.
(c) Determine the average mole fraction of O2 in the water at t = 30 min.
(d) Compare the value determined in part
(b) with the diffusion coefficient of O2 estimated from the Wilke-Chang equation.
FIGURE P.12.1:
Transcribed Image Text:
Gas flow Liquid water, 0.3 cm deep *O sensor
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