Metric Conversions and Density Applications

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Questions and Answers

98.05 kL = __ L

98,050

5.20 x 10^-4 g = __ mg

0.520

2.72 mL = __ cm³

2.72

4.8 x 10³ m = __ mm

<p>4,800,000</p> Signup and view all the answers

Given a cube with the length of one side being 2.50 cm, calculate its volume in cm³ and in liters.

<p>15.6 cm³ and 0.0156 L</p> Signup and view all the answers

What is the formula for density?

<p>Density = Mass / Volume</p> Signup and view all the answers

Rearrange the formula to solve for volume. Repeat to solve for mass.

<p>Volume = Mass / Density, Mass = Density x Volume</p> Signup and view all the answers

What is the density of liquid water?

<p>1.00 g/mL or 1.00 kg/L</p> Signup and view all the answers

Given a 5.25 kg sample of aluminum and knowing the density of aluminum is 2.70 g/cm³, calculate the volume of the sample. (DA would be very helpful!)

<p>1,940 cm³</p> Signup and view all the answers

Calculate the density of an object that measures 2.0 cm X 1.0 cm X 3.0 cm and has a mass of 25.75 grams.

<p>4.3 g/cm³</p> Signup and view all the answers

How does temperature affect density? Draw diagrams to support your answer.

<p>Density decreases as temperature increases.</p> Signup and view all the answers

Draw a picture/diagram that shows the molecular structure for something that is dense vs. something that is not dense.

<p>A dense object has molecules packed tightly together, while a less dense object has more space between molecules.</p> Signup and view all the answers

What is the difference between kinetic energy and potential energy? Give examples of each.

<p>Kinetic energy is the energy of motion, while potential energy is the energy of position or stored energy. A moving car has kinetic energy, while a book on a shelf has potential energy due to its position.</p> Signup and view all the answers

What is the difference between temperature, thermal energy, and heat?

<p>Temperature is the average kinetic energy of molecules, thermal energy is the total kinetic energy of an object, and heat is the transfer of thermal energy between objects at different temperatures.</p> Signup and view all the answers

Draw diagrams below that show the relative kinetic energy of both a hot and cold sample.

<p>A hot sample will have molecules moving with higher kinetic energy and greater frequency, while a cold sample will have molecules moving with lower kinetic energy and less frequency.</p> Signup and view all the answers

Calculate how many pounds of water would fill an 8.0 gallon tub. There are 454 grams in 1.00 pound; the density of water is 1.00 g/mL; and 1.oo gallons = 3.79 liters. Use Dimensional Analysis

<p>47 pounds</p> Signup and view all the answers

The speed limit on 1-5 is 75 miles per hour. Convert this to meters per second. 1.61 km = 1.00 mile. Use DA

<p>34 m/s</p> Signup and view all the answers

Given that 12 inches = 1 foot; 3 feet = 1 yard; 1.0000 miles = 1.6093Km. Use dimensional analysis to answer the following: a. How many inches is a football field if the length is 120.00 yards? b. How many kilometers would the length of the football field be?

<p>a. 4,320 inches, b. 0.11 km</p> Signup and view all the answers

Flashcards

Metric Conversion Staircase

A diagram that visually represents the relationships between metric units and makes it easier to convert between them.

Density

A measure of how compact a substance is, calculated by dividing the mass of the substance by its volume.

Dimensional Analysis

The process of using units to analyze and solve problems, ensuring that the units cancel out correctly.

Metric Conversions

The process of converting between different units within the metric system using prefixes like kilo, hecto, deka, deci, centi, and milli.

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Meter

The basic unit of length in the metric system.

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Gram

The basic unit of mass in the metric system.

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Liter

The basic unit of volume in the metric system, often used for liquids.

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Volume

A measure of how much space a substance occupies.

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Mass

A measure of the amount of matter in an object.

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Length

A measure of how long something is.

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Study Notes

Metric Conversions

  • Draw the metric conversion staircase.
  • 98.05 kL = 98,050 L
  • 5.20 x 10-4 g = 0.520 mg
  • 2.72 mL = 2.72 cm³
  • 4.8 x 103 m = 4,800 mm

Applications of Metric Conversions, Density, and Dimensional Analysis

  • Given a cube with a side length of 2.50 cm, calculate its volume in cm³ and liters.
  • Formula for density: density = mass/volume
  • Rearrange the formula to solve for volume: volume = mass/density
  • Rearrange the formula to solve for mass: mass = density x volume
  • Density of liquid water: 1.00 g/mL
  • Given a 5.25 kg sample of aluminum and knowing the density of aluminum is 2.70 g/cm³, calculate the volume of the sample.
  • Density of an object with dimensions 2.0 cm x 1.0 cm x 3.0 cm and a mass of 25.75 grams: 4.3 g/cm³

Effect of Temperature on Density

  • How does temperature affect density? Draw diagrams to support your answer.

Molecular Structure and Density

  • Draw a picture/diagram that shows the molecular structure for something that is dense vs. something that is not dense.

Kinetic and Potential Energy

  • What is the difference between kinetic energy and potential energy? Give examples of each
  • Define kinetic and potential energy, giving examples of each.

Temperature, Thermal Energy, and Heat

  • What is the difference between temperature, thermal energy, and heat?
  • Define temperature, thermal energy, and heat.

Relative Kinetic Energy

  • Draw diagrams below that show the relative kinetic energy of both a hot and cold sample.

Calculating Water Volume

  • Calculate how many pounds of water would fill an 8.0 gallon tub. There are 454 grams in 1.00 pound; the density of water is 1.00 g/mL; and 1.00 gallons = 3.79 liters.Use Dimensional Analysis

Speed Limit Conversion

  • The speed limit on 1-5 is 75 miles per hour. Convert this to meters per second. 1.61 km = 1.00 mile. Use DA

Dimensional Analysis Example

Given that 12 inches = 1 foot; 3 feet = 1 yard; 1.0000 miles = 1.6093Km

  • How many inches is a football field if the length is 120.00 yards?
  • How many kilometers would the length of the football field be?

Thermometer and Ruler Increments

  • A thermometer has increments every degree Celsius, to what place would you record all your answers?
  • A centimeter ruler has increments every millimeter, to what place would you record all your answers?

Scientific Notation

  • Write 0.00004898 in scientific notation
  • Write 340000000 in scientific notation

Measuring Mass

  • What instrument would you use to measure mass?

SI Units

  • What are the SI units for:
    • Mass
    • Temperature
    • Length
    • Time
    • Liquid volume
    • Solid volume

Precision and Accuracy

  • Explain the difference between precision and accuracy. Draw diagrams to support your answer.

Measuring Volume

  • Using precision, explain why you should measure volume with a graduated cylinder and not a beaker.

Quantitative and Qualitative Data

  • What is the difference between quantitative and qualitative data? Give examples of each.

Open, Closed, and Isolated Systems

  • Describe the differences between open, closed, and isolated systems.

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