Question
A cylindrical object at 20 0C was taken into a bath at 70 0C. The core temperature of this cylinder, with a weight of 532
A cylindrical object at 20 0C was taken into a bath at 70 0C. The core temperature of this cylinder, with a weight of 532 g, a thermal conductivity of 320 W/m.K, a heat capacity of 16 j/mol.K, a radius of 5 cm and a height of 12 cm, was measured and the core temperature was determined as 34 0C. Calculate the Biot (Bi) and heat transfer coefficient (h) values of 20 0C in 10 seconds using the dimensionless temperature-dimensionless time graph.
In the experimental setup in the figure, one-dimensional diffusion is aimed based on time (t) and x (cm) variables. The saturated glucose solution (red) diffuses into the liquid (water) by removing the barrier. Diffusion starts from 1 point. Dissolved saturated The concentration of the solution is 1.2 g / ml. When the diffusion reaches the midpoint (point 2) at t = 30 seconds, samples are taken from 1 and 2 points (x = 20). The concentrations of these samples are 1 g / ml and 0.1 g / ml, respectively. When the diffusion reaches the end of the system (point 3) at t = 75 sec, samples are taken from 1 and 3 points. The concentrations of these samples are 0.6 g / ml and 0.03 g / ml, respectively. a) Calculate the experimental diffusion coefficient using the values given for two different t times. For this, you can use the following Error Function Values table. b) Calculate the percentage of error since it is known that the theoretical diffusion coefficient is 6.4 cm2 / sec using the Wilke-Chang equation.
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