Unit Conversions and Density Calculations
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Questions and Answers

What is the conversion factor for converting cubic inches to cubic centimeters, given that 1 inch equals 2.54 cm?

  • 1 in/2.54 cm
  • 6.4516 cm³/in³
  • 16.387 cm³/in³ (correct)
  • 2.54 cm/in
  • If a container holds 5.7 liters, what is its volume in cubic inches, using the conversion that 1 inch = 2.54 cm?

  • 0.0003478 in³
  • 6.31 in³
  • 34,778 in³
  • 347.8 in³ (correct)
  • What is the mass of 4.0 cm³ of lead, if lead has a density of 11.3 g/cm³?

  • 45.2 g (correct)
  • 2.825 g
  • 15.3 g
  • 0.35 g
  • If ether has a density of 0.719 g/mL, how much would 3.0 × 10² mL of ether weigh?

    <p>215.7 g</p> Signup and view all the answers

    Using the provided conversion factors, which calculation setup correctly finds the volume in cubic inches, given a volume of 7.0 Liters?

    <p>$7.0 L * (1000 cm^3 / 1 L) * (1 in^3 / 16.387 cm^3)$</p> Signup and view all the answers

    Signup and view all the answers

    Study Notes

    Unit Conversions Raised to Powers

    • Cubic inch to cubic centimeter conversion: 1 inch = 2.54 cm
    • Relationship between linear units raised to the power of 3
    • Conversion factors derived from the relationship between units

    Density as a Conversion Factor

    • Density of lead: 11.3 g/cm³
    • Calculation to determine mass of 4.0 cm³ of lead
    • Density calculation to find mass of 3.0 x 10² mL of ether, given density of ether = 0.719 g/mL

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    Description

    This quiz focuses on unit conversions raised to powers, specifically between cubic inches and cubic centimeters. You'll also explore the concept of density and its use as a conversion factor in calculating mass for various substances. Test your understanding of these essential principles in physics and chemistry.

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