Answer:
Density of pheromones compound is [tex]4.032\times 10^{13} g/L[/tex].
Explanation:
Mass of pheromones compound = [tex]m=1.0\times 10^{-8} g[/tex]
When pheromone is in a cylindrical air space having a radius of 0.50 mi and a height of 40 ft.The volume of the cylindrical air space will be given by:
[tex]V=\pi r^2h[/tex]
Radius of the cylindrical air space,r = 0.50 mile = 804.672 m
Height of the cylindrical air space,h = 40 feet = 0.00757576 mile =12.1920 m
[tex]V=3.14\times (804.672 m)^2\times 12.1920 m=24,800,623.86 m^3[/tex]
[tex]1 L=10^{-3} m^3[/tex]
[tex]V=24,800,623.86 m^3=24,800,623.86\times 10^{-3} L=24,800.62386 L[/tex]
Density of pheromones compound:
[tex]Density=\frac{1.0\times 10^{-8} g}{24,800.62386 L}=4.032\times 10^{13} g/L[/tex]
