QuestionAugust 15, 2025

Unit conversion and Unit Prefixes Make the following conversions: 6) 34 meters to centimeters 4.5 liters to milliliters 2) 987 millimeters to meters 7) 21.7 grams to kilograms 3) 87,666 milligrams to grams 8) 000088 kiloliters to liters 4) 0.54 centigrams to grams 9) 33 centimeters to meters 5) 221 meters to millimeters 10) 72.2 kilograms to grams 11) One mole of ammonia molecules weighs 17.0 grams. How much would 0.25 moles of ammonia molecules weigh? 12) One mole of fluorine atoms weighs 190 grams. How many moles of fluorine atoms are in a sample weighing 57.0 grams? 13) One mole of oxygen atoms weigh 160 grams. How much would 24 moles of oxygen atoms weigh? 14) One mole of carbon dioxide molecules weighs 44.0 grams. If you exhale 0.55 grams of carbon dioxide, how many moles of CO_(2) is this? 15) A rollercoaster will travel 30.0 meters in one second. (30m/s.) How many kilometers will it travel in one hour?

Unit conversion and Unit Prefixes Make the following conversions: 6) 34 meters to centimeters 4.5 liters to milliliters 2) 987 millimeters to meters 7) 21.7 grams to kilograms 3) 87,666 milligrams to grams 8) 000088 kiloliters to liters 4) 0.54 centigrams to grams 9) 33 centimeters to meters 5) 221 meters to millimeters 10) 72.2 kilograms to grams 11) One mole of ammonia molecules weighs 17.0 grams. How much would 0.25 moles of ammonia molecules weigh? 12) One mole of fluorine atoms weighs 190 grams. How many moles of fluorine atoms are in a sample weighing 57.0 grams? 13) One mole of oxygen atoms weigh 160 grams. How much would 24 moles of oxygen atoms weigh? 14) One mole of carbon dioxide molecules weighs 44.0 grams. If you exhale 0.55 grams of carbon dioxide, how many moles of CO_(2) is this? 15) A rollercoaster will travel 30.0 meters in one second. (30m/s.) How many kilometers will it travel in one hour?
Unit conversion and Unit Prefixes Make the following conversions: 6) 34 meters to centimeters 4.5 liters to milliliters 2) 987 millimeters to meters 7) 21.7 grams to kilograms 3) 87,666 milligrams to grams 8) 000088 kiloliters to liters 4) 0.54 centigrams to grams 9) 33 centimeters to meters 5) 221 meters to millimeters 10) 72.2 kilograms to grams 11) One mole of ammonia molecules weighs 17.0 grams. How much would 0.25 moles of ammonia molecules weigh? 12) One mole of fluorine atoms weighs 190 grams. How many moles of fluorine atoms are in a sample weighing 57.0 grams? 13) One mole of oxygen atoms weigh 160 grams. How much would 24 moles of oxygen atoms weigh? 14) One mole of carbon dioxide molecules weighs 44.0 grams. If you exhale 0.55 grams of carbon dioxide, how many moles of CO_(2) is this? 15) A rollercoaster will travel 30.0 meters in one second. (30m/s.) How many kilometers will it travel in one hour?

Solution
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Answer

3400 cm, 4500 mL, 0.987 m, 0.0217 kg, 87.666 g, 88000 L, 0.0054 g, 0.33 m, 221000 mm, 72200 g, 4.25 g, 0.3 moles, 3840 g, 0.0125 moles, 108 km/h Explanation 1. Convert meters to centimeters Multiply by 100. 34 \, \text{m} = 34 \times 100 = 3400 \, \text{cm} 2. Convert liters to milliliters Multiply by 1000. 4.5 \, \text{L} = 4.5 \times 1000 = 4500 \, \text{mL} 3. Convert millimeters to meters Divide by 1000. 987 \, \text{mm} = \frac{987}{1000} = 0.987 \, \text{m} 4. Convert grams to kilograms Divide by 1000. 21.7 \, \text{g} = \frac{21.7}{1000} = 0.0217 \, \text{kg} 5. Convert milligrams to grams Divide by 1000. 87,666 \, \text{mg} = \frac{87666}{1000} = 87.666 \, \text{g} 6. Convert kiloliters to liters Multiply by 1000. 88 \, \text{kL} = 88 \times 1000 = 88000 \, \text{L} 7. Convert centigrams to grams Divide by 100. 0.54 \, \text{cg} = \frac{0.54}{100} = 0.0054 \, \text{g} 8. Convert centimeters to meters Divide by 100. 33 \, \text{cm} = \frac{33}{100} = 0.33 \, \text{m} 9. Convert meters to millimeters Multiply by 1000. 221 \, \text{m} = 221 \times 1000 = 221000 \, \text{mm} 10. Convert kilograms to grams Multiply by 1000. 72.2 \, \text{kg} = 72.2 \times 1000 = 72200 \, \text{g} 11. Calculate weight of ammonia molecules Multiply moles by weight per mole. 0.25 \, \text{moles} \times 17.0 \, \text{g/mole} = 4.25 \, \text{g} 12. Calculate moles of fluorine atoms Divide weight by weight per mole. \frac{57.0 \, \text{g}}{190 \, \text{g/mole}} = 0.3 \, \text{moles} 13. Calculate weight of oxygen atoms Multiply moles by weight per mole. 24 \, \text{moles} \times 160 \, \text{g/mole} = 3840 \, \text{g} 14. Calculate moles of carbon dioxide Divide weight by weight per mole. \frac{0.55 \, \text{g}}{44.0 \, \text{g/mole}} = 0.0125 \, \text{moles} 15. Convert speed to kilometers per hour Multiply by 3600 and divide by 1000. 30 \, \text{m/s} \times \frac{3600}{1000} = 108 \, \text{km/h}

Explanation

1. Convert meters to centimeters<br /> Multiply by 100. $34 \, \text{m} = 34 \times 100 = 3400 \, \text{cm}$<br /><br />2. Convert liters to milliliters<br /> Multiply by 1000. $4.5 \, \text{L} = 4.5 \times 1000 = 4500 \, \text{mL}$<br /><br />3. Convert millimeters to meters<br /> Divide by 1000. $987 \, \text{mm} = \frac{987}{1000} = 0.987 \, \text{m}$<br /><br />4. Convert grams to kilograms<br /> Divide by 1000. $21.7 \, \text{g} = \frac{21.7}{1000} = 0.0217 \, \text{kg}$<br /><br />5. Convert milligrams to grams<br /> Divide by 1000. $87,666 \, \text{mg} = \frac{87666}{1000} = 87.666 \, \text{g}$<br /><br />6. Convert kiloliters to liters<br /> Multiply by 1000. $88 \, \text{kL} = 88 \times 1000 = 88000 \, \text{L}$<br /><br />7. Convert centigrams to grams<br /> Divide by 100. $0.54 \, \text{cg} = \frac{0.54}{100} = 0.0054 \, \text{g}$<br /><br />8. Convert centimeters to meters<br /> Divide by 100. $33 \, \text{cm} = \frac{33}{100} = 0.33 \, \text{m}$<br /><br />9. Convert meters to millimeters<br /> Multiply by 1000. $221 \, \text{m} = 221 \times 1000 = 221000 \, \text{mm}$<br /><br />10. Convert kilograms to grams<br /> Multiply by 1000. $72.2 \, \text{kg} = 72.2 \times 1000 = 72200 \, \text{g}$<br /><br />11. Calculate weight of ammonia molecules<br /> Multiply moles by weight per mole. $0.25 \, \text{moles} \times 17.0 \, \text{g/mole} = 4.25 \, \text{g}$<br /><br />12. Calculate moles of fluorine atoms<br /> Divide weight by weight per mole. $\frac{57.0 \, \text{g}}{190 \, \text{g/mole}} = 0.3 \, \text{moles}$<br /><br />13. Calculate weight of oxygen atoms<br /> Multiply moles by weight per mole. $24 \, \text{moles} \times 160 \, \text{g/mole} = 3840 \, \text{g}$<br /><br />14. Calculate moles of carbon dioxide<br /> Divide weight by weight per mole. $\frac{0.55 \, \text{g}}{44.0 \, \text{g/mole}} = 0.0125 \, \text{moles}$<br /><br />15. Convert speed to kilometers per hour<br /> Multiply by 3600 and divide by 1000. $30 \, \text{m/s} \times \frac{3600}{1000} = 108 \, \text{km/h}$
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