Cumulative Recitation #1: Units & Conversions

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Questions and Answers

What letter symbol is used to represent the factor 109?

G

How many mm are in 3.20 cm?

32.0

What is the volume of a 2.50 gram block of metal whose density is 6.72 grams per cubic centimeter?

0.371

Select the longest distance. (1 in = 2.54 cm; 1 ft = 12 in = 0.33 yd = 0.303 m)

<p>3.3 m (E)</p> Signup and view all the answers

A cube of 1.2 inches on the side has a mass of 36 grams. What is the density in g/mL?

<p>2.9</p> Signup and view all the answers

If the walls in a room are 955 square feet in area, and a gallon of paint covers 15 square yards, how many gallons of paint are needed for the room? (3 ft = 1 yd)

<p>21</p> Signup and view all the answers

Please calculate the volume in liters occupied by carbon monoxide (CO) in a room that measures 17.6 m long, 8.80 m wide, and 2.64 m high.

<p>412</p> Signup and view all the answers

Prolonged exposure to mercury (Hg) vapor can cause neurological disorder and respiratory problems. For safe air quality control, the concentration of mercury vapor must be under 0.050 mg/m3. Convert this number to g/L.

<p>5.0 x 10<sup>-8</sup></p> Signup and view all the answers

The general test for type (II) diabetes is that the blood sugar (glucose) must be below 120 mg per deciliter (mg/dL). Please convert this number to µg/mL.

<p>1200</p> Signup and view all the answers

A student performs an experiment to determine the density of a sugar solution. She obtains the following results: 1.11 g/mL, 1.81 g/mL, 1.95 g/mL, 1.75 g/mL. If the actual value for the density of the sugar solution is 1.75 g/mL, which statement below best describes her results?

<p>Her results are neither precise nor accurate. (D)</p> Signup and view all the answers

Density is defined as the ratio of the mass of an object to its volume. Looking at the small- particle views of water as a solid, liquid, and gas, which phase has the highest density?

<p>Solid (A)</p> Signup and view all the answers

If you had equal masses of each of the following substances, which would occupy the greatest volume?

<p>ice (d = 0.917 g/mL) (E)</p> Signup and view all the answers

A graduated cylinder is filled with water to the 25.0 mL mark. After 27.5 g of titanium dioxide (TiO2) is added, the volume is 31.5 mL. Calculate the density of the TiO2 to the correct number of significant figures.

<p>0.87</p> Signup and view all the answers

Which pure substances are compounds?

<p>Brass (A), Propane (B), Hydrogen peroxide (C), Ammonia (F), Glycine (I)</p> Signup and view all the answers

Identify the INCORRECT statement.

<p>Tap water: a compound (B)</p> Signup and view all the answers

Which answer includes all the following that are chemical changes and not physical changes?

<p>III and IV (A)</p> Signup and view all the answers

Which of the following is an intensive property of chlorine?

<p>Chlorine gas, when inhaled in large amounts, is toxic to humans (D)</p> Signup and view all the answers

Which of the following is an extensive property of hydrogen?

<p>The amount of energy released when hydrogen reacts with oxygen (E)</p> Signup and view all the answers

Flashcards

109 factor symbol

The letter 'n' is used to represent the factor 109.

mm in 3.20 cm

There are 32 mm in 3.20 cm.

Volume of 2.50 g metal block

A 2.50 gram block of metal, with a density of 6.72 grams per cubic centimeter, has a volume of approximately 0.372 cubic centimeters.

Longest distance among options

The longest distance among 3.3 m, 120 in, 11 ft, 3.9 yd, and 4.0 m is 4.0 m (or equivalent).

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Density of 1.2 in cube

A cube with 1.2 inches on each side, and a mass of 36 grams, has a density of approximately 15.5 g/mL.

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Gallons of paint needed for 955 sq ft room

955 sq ft of walls with paint covering 15 sq yards/gallon need approximately 22-23 gallons of paint.

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g/cm^3 to kg/L conversion

To convert g/cm^3 to kg/L, multiply by 1000.

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g/mL to kg/m^3 conversion

To convert g/mL to kg/m^3, multiply by 1000 then divide by 1000000 or equivalently multiply by 1000 then by 1000.

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Volume of CO in room (liters)

A room with dimensions of 17.6 meters long, 8.80 meters wide, and 2.64 meters high occupies a volume of approximately 411 cubic meters which is equal to 411000 liters.

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0.050 mg/m^3 to g/L

0.050 mg/m^3 is equal to 0.000050 g/L.

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120 mg/dL to µg/mL

120 mg/dL converts to 1200 µg/mL.

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Precise and accurate results

Precise results are close to each other, while accurate results are close to the actual value.

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Density of phases of water

Water's solid phase (ice) has the lowest density compared to the liquid and gaseous forms.

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Substance with greatest volume

The substance with the highest volume given equal mass is the one with the lowest density, in this case ice(d= 0.917 g/mL).

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Study Notes

Cumulative Recitation #1

  • Units and Conversions:

    • 1 kg = 2.205 pounds (lb)
    • 1 kg = 35.27 ounces (oz)
    • 1 m = 39.37 inches (in) = 3.281 feet (ft) = 1.094 yards (yd)
    • 1 km = 0.6214 mile (mi)
    • 1 in = 2.54 cm (exactly)
    • 1 m³ = 35.31 ft³ = 1000 liters (L) (exactly)
    • 1 L = 0.2642 gallon (gal) = 1.057 quarts (qt)
    • Factor 10⁻¹ is represented by the letter 'd'
  • Metric Conversions:

    • Convert 3.20 cm to mm: 32.0 mm
    • Convert 2.50 g block of metal (density 6.72 g/cm³) to volume: 0.373 cm³
    • Longest distance from options: Calculate each option to meters then compare
    • Convert a 1.2 in³ cube of 36 grams to density: 235g/mL
    • Find gallons of 955 ft² with 15 sq yd/gal: 10 gallons
    • Convert the average density of human brain (0.90 g/cm³) to kg/L: 0.90 g/cm³ = 0.90 kg/L
  • Density Conversions:

    • Density of earth = 4 g/mL to kg/m³ is 4000 kg/m³
  • Volume Calculation:

    • Calculate volume in liters of a room (17.6 m long, 8.80 m wide, and 2.64 m high): 322.3 L
    • Convert 0.050 mg/m³ to g/L: 0.00005 g/L
    • Convert 120 mg/dL (blood sugar) to µg/mL: 1200 µg/mL

Additional Concepts

  • Density: Defined as the ratio of mass to volume. A key concept in determining the volume occupied by a given mass of a substance.
  • Significant Figures: Critical when reporting the results of calculations, particularly with density problems
  • Precise vs. Accurate: In experimental results, precise measurements are close together, while accurate measurements are close to the true value.

Density Experiment

  • A student's experimental results in determining sugar solution density are given. The student's results are accurate because they are close to the actual value (although precise values would be better)

Particle Views

  • Comparing particle views: Density trends in the states of matter (solid, liquid, gas)
  • Evidence of density change within phases (e.g., solid water is less dense than liquid water).

Substance Volume

  • Calculate the substance with the greatest volume when all masses are identical: Substance with the lowest density occupies the greatest volume.

Titanium Dioxide Density

  • Calculate density: Given the volume change and the mass added calculate the density.

Pure Substances & Compounds

  • Identify which pure substances are compounds.

Chemical vs. Physical Changes

  • Identify the chemical changes from the list of examples.

Intensive & Extensive Properties

  • Identify intensive properties for chlorine (e.g., boiling point).
  • Distinguish between extensive (dependent on amount) and intensive properties (not dependent on amount).

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