Question

Suppose that we found a volatile substance that we have placed in a sealed container. We know that molecules leave the surface at a rate 5 times the area of the surface and return at a rate 3 times the amount which has evaporated. Assume that this substance is spread evenly to a depth of 2mm over the bottom of a closed box that is 10cm by 5cm. Find a equation to model the depth of the substance at any point in time. Time is in hours. Use Euler's method with a step size on h = .01

Given:

V’=-5*(50)+3(10*5*0.2-V) where V(t) represents amount, V(0)=10*5*0.2, and V(t)=10*5*h(t) where h(t) represents height, h(0)=0.2.

Answer 1