Concept explainers
(a)
Interpretation:
The given conversions have to be performed to fill the blanks. The operations have to be done without calculator or spreadsheet.
6.39 cm = _ m = _ mm = _ nm
(a)
Explanation of Solution
Given,
6.39 cm = _ m = _ mm = _ nm
The conversion factor used to convert centimeters to meters is
1 cm = 10-2 mthen,6.39 cm = 6.39 × 10-2 m = 0.0639 m
The conversion factor used to convert centimeters to millimeters is
1 cm = 10-2 m1 mm = 10-3 mthen,6.39 cm = 0.0639 m = 0.0639 × 103 mm = 63.9 mm
The conversion factor used to convert centimeters to nanometers is
1 cm = 10-2 m1 nm = 10-9 mthen,6.39 cm = 0.0639 m = 0.0639 × 109 nm = 63900000 nm = 6.39 × 107 nm
The given blanks can be filled as follows:
6.39 cm = 0.0639 _ m = 63.9 _ mm = 6.39 × 107_ nm
(b)
Interpretation:
The given conversions have to be performed to fill the blanks. The operations have to be done without calculator or spreadsheet.
55.0 cm3 = _ dm3 = _ mL = _ L = _ m3
(b)
Explanation of Solution
Given,
55.0 cm3 = _ dm3 = _ mL = _ L = _ m3
The conversion factor used to convert cubic centimeters to cubic decimeters is
1 cm3 = 10-3 dm3then,55.0 cm3 = 55.0 × 10-3 dm3 = 0.0550 dm3
The conversion factor used to convert cubic centimeters to milliliters is
1 cm3 = 1 mLthen,55.0 cm3 = 55.0 mL
The conversion factor used to convert cubic centimeters to liters is
1 cm3 = 1 mL1 mL = 10-3 Lthen,55.0 cm3 = 55.0 mL = 55.0 × 10-3 L = 0.055 L
The conversion factor used to convert cubic centimeters to cubic meters is
1 cm3 = 10-6 m3then,55.0 cm3 = 55.0 × 10-6 m3 = 5.5 × 10-5 m3
The given blanks can be filled as follows:
55.0 cm3 = 0.0550 _ dm3 = 55.0 _ mL = 0.055 _ L = 5.5 × 10-5_ m3
(c)
Interpretation:
The given conversions have to be performed to fill the blanks. The operations have to be done without calculator or spreadsheet.
23.1 g = _ mg = _ kg
(c)
Explanation of Solution
Given,
23.1 g = _ mg = _ kg
The conversion factor used to convert grams to milligrams is
1 g = 103 mgthen,23.1 g = 23.1 × 103 mg = 2.31 × 104 mg
The conversion factor used to convert grams to kilograms is
1 g = 10-3 kgthen,23.1 g = 23.1 × 10-3 kg = 0.0231 kg
The given blanks can be filled as follows:
23.1 g = 2.31 × 104_ mg = 0.0231 _ kg
(d)
Interpretation:
The given conversions have to be performed to fill the blanks. The operations have to be done without calculator or spreadsheet.
98.6°F = _ °C = _ K
(d)
Explanation of Solution
Given,
98.6°F = _ °C = _ K
The conversion factor used to convert degree Fahrenheit to degree Celsius is
TC = (TF - 32°F) × (1.0°C1.8°F)then,98.6°F = 37°C
The conversion factor used to convert degree Fahrenheit to Kelvin is
TC = (TF - 32°F) × (1.0°C1.8°F)TK = TC + 273.15then,98.6°F = 37°C = 310.15 K
The given blanks can be filled as follows:
98.6°F = 37_ °C = 310.15_ K
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Chapter 1 Solutions
Chemistry: Principles and Practice
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