Fick's law of diffusion states that the rate of diffusion is directly proportional to the concentration gradient, and the surface area and inversely proportional to the membrane's thickness
The differences expected are;
- Yellow or blue food coloring placed in HOT water is more evenly spread with time
- Yellow or blue food coloring placed in HOT water diffuses than when placed in COLD water
The reasons why the above expected differences are correct are as follows:
Diffusion that is time dependent is given by the following equation based on the fluctuation-dissipation theorem;
D(t) = μ·[tex]k_B[/tex]·T·(1 - [tex]e^{-t/(m\cdot \mu )}[/tex])
Where;
μ = The particle mobility
[tex]k_B[/tex] = Boltzmann's constant
T = The temperature in Kelvin
m = The mass of the particle
t = The time
Therefore, the rate of diffusion is directly proportional to the temperature, given that the substances have the same molecular masses
The differences to expect if, at the same time you place a yellow and blue food coloring in both hot and cold water is that;
The rate of diffusion of the food coloring will be faster when placed in the hot water, due to the higher kinetic energy (moving faster) of the liquid particles to which the coloring is added, such that the differences are as follows;
Diffusion of the coloring is more evenly spread and at a faster rate when either the yellow or blue food coloring is placed in HOT water than when placed in COLD water
Learn more about diffusion here:
https://brainly.com/question/17971407
