Direct Linear Relations and Density Quiz



Direct Linear Relations and Density Quiz Name______________

Instructions

Each student will work independently. You may use a graphing calculator.

For problems 1-6, use the density formula (D = m/v).

1. The volume of a liquid is 100 ml. The liquid’s mass is 10 grams. Find the density of the liquid.

2. A liquid has a density of 12 g/ml. The liquid’s volume is 50 ml. Find the mass of the liquid.

3. Solve the formula, D = m/v, for v.

4. If a liquid’s density equals 1, what can you say about the relationship between the liquid’s volume and mass? What if the liquid’s density equals 2?

5. If a liquid’s mass is 14 g and its volume is 14 ml, what is the slope of the line that represents the liquid’s density? What is the equation of this line?

6. A certain liquid has an equation with a slope of 5. Give a possible combination of mass and volume for the liquid.

Use a graphing calculator to answer the following question.

1. The year is 2055. You and your partner are chemists that have been selected to go on the first mission to Mars. Your mission is to determine if there is liquid water on the planet. After your arrival and several months of work, you have identified the three following substances to possibly be water. One of the best tests to identify which substance is water is to determine the density of each substance. Density is defined as mass/volume. The density of water is approximately 1g/ml. Which substance is water? How does the slope of each line indicate the density of each substance? What is the mass of 34 ml Substance A? What volume of Substance C has a mass of 29.8 grams? Explain your answer in a paragraph and include your tables and a sketch of your graph.

|Volume (ml) |Substance A (g) |Substance B (g) |Substance C (g) |

|5 ml |4.1 g |5.1 |4.6 |

|15 ml |12.1 g |14.9 |13.7 |

|25 ml |19.8 g |25.2 |23.1 |

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