Be sure to answer all parts. Pheromones are compounds secreted by females of many insect species to attract mates. Typically, 1.00 × 10−8 g of a pheromone is sufficient to reach all targeted males within a radius of 0.500 mi. Calculate the density of the pheromone (in grams per liter) in a cylindrical air space having a radius of 0.500 mi and a height of 33.0 ft (volume of a cylinder of radius r and height h is πr2h). Enter your answer in scientific notation.

Question
Asked Sep 19, 2019
Be sure to answer all parts.
 
Pheromones are compounds secreted by females of many insect species to attract mates. Typically, 1.00 × 10−8 g of a pheromone is sufficient to reach all targeted males within a radius of 0.500 mi. Calculate the density of the pheromone (in grams per liter) in a cylindrical air space having a radius of 0.500 mi and a height of 33.0 ft (volume of a cylinder of radius r and height h is πr2h). Enter your answer in scientific notation.
 
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Step 1

Density is the ratio of mass to Volume.

By using known unit conversion, the density is calculated.

Mass
DensityVolume
1 mi 5280 ft;
1 ft 30.5 cm;
1 ft3-28372.625 cm3;1000 cm3 -1L
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Mass DensityVolume 1 mi 5280 ft; 1 ft 30.5 cm; 1 ft3-28372.625 cm3;1000 cm3 -1L

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Step 2

Volume of cylindrical air space is calculated as,

Radius of circular...

Volume of the circular air space = ir-h
3.14)x(2640ft)(33ft)
= 7.22x108 ft3
Volume of circular air space (in cm3)=204850.3525x108 cm3
204.85x108 L
(in L)
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Volume of the circular air space = ir-h 3.14)x(2640ft)(33ft) = 7.22x108 ft3 Volume of circular air space (in cm3)=204850.3525x108 cm3 204.85x108 L (in L)

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