Question

predict what would happen to the speed at which the food dye diffuses if you warm the liquid

Answer 1

Put the two glasses next to each other. Pour cold water into one glass until it is about ¾ of the way full. Then pour warm water in the other glass up to the same level.
Take a dropper of food coloring in each hand and add two drops of food coloring to each glass at the same time.
Watch how the food coloring spreads through the glasses. Which glass does it spread through faster?

Answer 2

I predict that the speed of diffusion in a warm liquid would be faster. Due to heat acting as a factor in increasing the energy in the liquid particles. Therefore, the particles in the liquid would move more freely and will be able to diffuse faster. 

Hope this helps