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General Chemistry Homework Guidance: Unit Conversions, Density, and Significant Figures

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Q1. Convert 2.5 km to cm.

Background

Topic: Metric Unit Conversions

This question tests your ability to convert between different metric units using conversion factors.

Key Terms and Formulas:

  • 1 kilometer (km) = 1,000 meters (m)

  • 1 meter (m) = 100 centimeters (cm)

Step-by-Step Guidance

  1. Start with the given value: 2.5 km.

  2. Convert kilometers to meters using the conversion factor:

  3. Now, convert meters to centimeters:

  4. Multiply the numbers together to get the value in centimeters, but do not calculate the final value yet.

Try solving on your own before revealing the answer!

Final Answer: 250,000 cm

We multiplied by the appropriate conversion factors to move from kilometers to centimeters.

Q2. Convert 0.0035 L to mL.

Background

Topic: Metric Unit Conversions

This question tests your understanding of converting between liters and milliliters.

Key Terms and Formulas:

  • 1 liter (L) = 1,000 milliliters (mL)

Step-by-Step Guidance

  1. Start with the given value: 0.0035 L.

  2. Multiply by the conversion factor to go from liters to milliliters:

  3. Set up the multiplication, but do not calculate the final value yet.

Try solving on your own before revealing the answer!

Final Answer: 3.5 mL

We used the conversion factor to change liters to milliliters.

Q3. Convert 2500 mg to g.

Background

Topic: Metric Unit Conversions

This question tests your ability to convert milligrams to grams.

Key Terms and Formulas:

  • 1 gram (g) = 1,000 milligrams (mg)

Step-by-Step Guidance

  1. Start with the given value: 2500 mg.

  2. Multiply by the conversion factor to go from milligrams to grams:

  3. Set up the multiplication, but do not calculate the final value yet.

Try solving on your own before revealing the answer!

Final Answer: 2.5 g

We divided by 1000 to convert milligrams to grams.

Q4. Convert 0.025 km to mm.

Background

Topic: Metric Unit Conversions

This question tests your ability to convert kilometers to millimeters using multiple conversion steps.

Key Terms and Formulas:

  • 1 kilometer (km) = 1,000 meters (m)

  • 1 meter (m) = 1,000 millimeters (mm)

Step-by-Step Guidance

  1. Start with the given value: 0.025 km.

  2. Convert kilometers to meters:

  3. Convert meters to millimeters:

  4. Multiply the numbers together, but do not calculate the final value yet.

Try solving on your own before revealing the answer!

Final Answer: 25,000 mm

We used two conversion factors to go from kilometers to millimeters.

Q5. Convert 1.5 mL to L.

Background

Topic: Metric Unit Conversions

This question tests your ability to convert milliliters to liters.

Key Terms and Formulas:

  • 1 liter (L) = 1,000 milliliters (mL)

Step-by-Step Guidance

  1. Start with the given value: 1.5 mL.

  2. Multiply by the conversion factor to go from milliliters to liters:

  3. Set up the multiplication, but do not calculate the final value yet.

Try solving on your own before revealing the answer!

Final Answer: 0.0015 L

We divided by 1000 to convert milliliters to liters.

Q6. Convert 0.002 kg to mg.

Background

Topic: Metric Unit Conversions

This question tests your ability to convert kilograms to milligrams using multiple conversion steps.

Key Terms and Formulas:

  • 1 kilogram (kg) = 1,000 grams (g)

  • 1 gram (g) = 1,000 milligrams (mg)

Step-by-Step Guidance

  1. Start with the given value: 0.002 kg.

  2. Convert kilograms to grams:

  3. Convert grams to milligrams:

  4. Multiply the numbers together, but do not calculate the final value yet.

Try solving on your own before revealing the answer!

Final Answer: 2,000 mg

We used two conversion factors to go from kilograms to milligrams.

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