slope= ( y2 − y1 ) ( x2 − x1 )
mass m = density ρ × Volume V
density ρ= massm VolumeV

  1. The graph shows soap density data. Use the graphed data to answer the following questions.
    Soap density Soap density Dial Basic Jergens Ivory volume (cm³) mass (g) y-axis labels 0 10 20 30 40 50 60 70 80 90 100 x-axis labels 0 10 20 30 40 50 60 70 80 90 100
    1. __________ _____ Calculate the density ρ of Dial Basic soap. Include the units.
    2. ______________ Based on the density, will Dial Basic soap float or sink?
    3. __________ _____ Using the density of the Dial Basic soap, calculate the mass of a bar of Dial Basic soap that has a volume of 100 cm³.
    4. __________ _____ Using the density the Dial Basic soap, calculate the volume of a bar of Dial Basic soap that has a mass of 250 grams.
    5. __________ _____ Calculate the density ρ of Jergens soap.
    6. ______________ Based on the density, will Jergens soap float or sink?
    7. __________ _____ Calculate the density ρ of Ivory soap.
    8. ______________ Based on the density, will Ivory soap float or sink?
  2. A student gathered the data seen in the table below.
    Graphical analysis

    Soap Data

    Volume (cm³)Mass (g)
    00
    2024
    4048
    6072
    8096
    100120
    background rectangle major grid lines axes text layers Density of Soap Volume (cm³) Mass (g) x-axis labels 0 10 20 30 40 50 60 70 80 90 100 y-axis labels 0 10 20 30 40 50 60 70 80 90 100 110 120
    1. Plot the soap data on the graph.
    2. __________ __________ Calculate the density of the soap. Include the units with your answer.
    3. ______________ Based on the slope, will this soap [float] OR [sink]?
    4. ______________ Based on the slope, is this soap likely to be [Jergens/Ivory] OR [Dial] soap?
    5. __________ __________ Calculate the mass for this soap for a volume of 200 cm³.
    6. __________ __________ Calculate the volume for this soap for a mass of 240 g.
  3. In laboratory one on a graph of volume versus mass for soap, what physical quantity did the slope represent?
  4. Critical thinking: Some laboratory groups obtained slopes which incorrectly predicted whether their soap would float or sink. Which are they more likely to have measured incorrectly and WHY: the volume or the mass?