$7\mathrm{.}5/7\mathrm{.}5$ pts

Question $9$

A very thin layer of oil floats on top of water. Two drops of different dyes are placed far apart in the oil. Both dyes diffuse through the oil. Since the layer of oil is thin, we can assume the diffusion is two$-$dimensional.

The first dye has a diffusion constant of $D_0,$ and it fills an area of $A_0$ in the oil after a time $T_0$ has passed. If the second dye has a diffusion constant of $4*D_0,$ what area will it fill after a time of $4*T_0?$

$64*A_0$

None of the above

$16*A_0$

$8.A_0$

$4.A_0$