
Concept explainers
Interpretation: From the given data, density of the pheromone should be determined.
Concept Introduction:
- Volume of a cylinder = area × height = π r2 h
- Density= mass Volume
- Conversion formula:
1 mile = 1609 metre1 centimetre = 0.01 metre
1 ft = 12 in1 in = 2.54 cm
1 cm3 =1mL1 L = 1000 m L

Answer to Problem 1.99QP
Answer
Density = 4.0 ×10-19 g /L
Explanation of Solution
Explanation
To determine: density of the pheromone s
To determine the density of the pheromone s, following steps should be followed,
To convert: The given radius and height from mile to centimeter and from foot to centimeter respectively.
Radius =8.05 ×104 cmHeight= 1.22 × 103cm
The given radius is 0.50 mi. The given radius can be converted in to centimeter by using the given conversion formula, that is,
1 mile = 1609 metre1 centimetre = 0.01 metre
0.50 mi × 1609 m1 mi × 1 cm0.01 m = 8.05 ×104cm
The given height in foot is 40 ft, the given height can be converted to centimeter by using the given formula;
1 ft = 12 in1 in = 2.54 cm
40 ft × 12 in1 ft ×2.54 cm1in = 1.22 × 103 cm
To determine the volume of a cylinder
Volume = 2.48 ×1010 L
Volume of cylinder can be determined by using the given formula. That is,
Volume of a cylinder = area × height = π r2 h
Here,Radius (r) = 8.05 × 104 cmHeight (h) = 1.22 × 103 cmVolume of a cylinder = π r2hπ =3.14Volume of a cylinder =3.14×(8.05 × 104 cm)2 × (1.22 × 103 cm) = 2.48 1013 cm3
It is needed to convert the volume to litters by using the given conversion formula.
1 cm3 =1mL1 L = 1000 m L
Here,Radius (r) = 8.05 × 104 cmHeight (h) = 1.22 × 103 cmVolume of a cylinder = π r2hπ =3.14Volume of a cylinder =3.14×(8.05 × 104 cm)2 × (1.22 × 103 cm) = 2.48 1013 cm32.48 1013 cm3 ×1 mL1 cm3 × 1L1000 mL = 2.48 × 1010L
To determine: Density of the pheromone
4.0 × 10-19 g/L
Density of the pheromone can be determined by using the given formula,
Density= mass Volume
Here,
Mass= 1.0 × 10-8gVolume= 2.48 × 1010L Density =1.0 × 10-8g2.48 × 1010L = 4.0 × 10-19 g/L
Conclusion
From the given data, density of the pheromone is determined.
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Chapter 1 Solutions
GEN COMBO CHEMISTRY: ATOMS FIRST; ALEKS 360 2S ACCESS CARD CHEMISTRY:ATOMS FIRST
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