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

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Flashcards

Conversion Factor

A ratio expressing the equivalence between two units, used to convert from one unit to another.

Density

The amount of matter packed into a given volume, calculated by dividing mass by volume.

Dimensional Analysis

A technique for converting units by multiplying by a conversion factor, ensuring the undesired unit cancels out.

Converting Cubic Units

Converting from one unit of volume to another requires a conversion factor based on the cubed relationship between linear units.

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Density as a Conversion Factor

Density can be used as a conversion factor between mass and volume, allowing us to calculate mass or volume if we know the other.

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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.