Weather Unit Investigation I: Locating Matter Lesson 1: Weather or Not Lesson 2: Raindrops Keep Falling . . . Lesson 3: Having a Melt Down Lesson 4: It’s Sublime Lesson 5: Water World Weather Unit – Investigation I Lesson 1: Weather or Not ChemCatalyst Below are a picture and weather report of a hurricane off the coast of Florida in the United States. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) FORECAST FOR THE MIAMI AREA: The tenth depression of the season in the Atlantic has become Hurricane Jan. The center of Jan is southeast of Florida. The maximum sustained winds are near 120 miles per hour. The estimated minimum central pressure is 28.5 inches. Skies over Miami are mostly cloudy. The temperature is 35C / 95F with (cont.) 90% humidity. © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Jan is expected to drop as much as 10 inches of rain in the southern part of Florida with rising temperature and humidity. • What are hurricanes and what do you think causes them? • What is weather? What causes weather? • How do meteorologists predict things like hurricanes? © 2004 Key Curriculum Press. Unit 3 • Investigation I The Big Question • What causes water to ‘cycle’ or move around on the planet? © 2004 Key Curriculum Press. Unit 3 • Investigation I You will be able to: • Explain what causes rain on the planet Earth. © 2004 Key Curriculum Press. Unit 3 • Investigation I Activity Purpose: In this activity you will heat and cool water in a flask with a balloon attached. Your observations will help you determine what makes the water “cycle.” (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Materials: (for each team of two students) 250 mL Erlenmeyer flask 25 mL graduated cylinder Medium sized party balloon 5 mL of water Hot plate Oven mitt Bucket or large beaker with ice and water © 2004 Key Curriculum Press. Unit 3 • Investigation I Making Sense • Based on this experiment, explain what causes water to “cycle” around the planet? © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes • Evaporation is the changing of a substance from the liquid phase to the gas phase. Condensation is the changing of a substance from the gas phase to the liquid phase. • Gas, liquid, and solid are three different phases of matter. A phase change refers to the conversion of a liquid to a gas or a solid, or vice versa. • A physical change is one in which the form or temperature of a substance is changed without changing its chemical make-up. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) • Humidity is a measure of the amount of water vapor (or gaseous water) in the air. © 2004 Key Curriculum Press. Unit 3 • Investigation I Check-In Answer the following question: • Using what you learned today about the movement of water, explain what causes rain on the planet Earth. © 2004 Key Curriculum Press. Unit 3 • Investigation I Wrap-Up • Weather is an interaction between the sun (a heat source), the water on the planet, the Earth’s surface, and the Earth’s atmosphere. • Water moves around through phase changes. • Phase changes affect the volume of substances. © 2004 Key Curriculum Press. Unit 3 • Investigation I Weather Unit – Investigation I Lesson 2: Raindrops Keep Falling . . . ChemCatalyst Annual rainfall in the United States (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) • How much rain fell where you live? • How is rainfall measured? • What type of instrument or container is used to measure rainfall? © 2004 Key Curriculum Press. Unit 3 • Investigation I The Big Question • How do meteorologists keep track of rainfall? © 2004 Key Curriculum Press. Unit 3 • Investigation I You will be able to: • Relate volume of water to rainfall amount. © 2004 Key Curriculum Press. Unit 3 • Investigation I Activity Purpose: This lesson introduces you to precision in measurement and allows you to explore measuring rainfall in inches and milliliters. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Materials: (per team of 2 students) 25 mL graduated cylinder 100 mL beaker 12 inch ruler Water bottles (use plastic pipettes or droppers if you do not have water bottles) © 2004 Key Curriculum Press. Unit 3 • Investigation I Making Sense Meteorologists can keep track of the amount of rainfall by measuring either the volume or the height of rainfall in a rain gauge. • If the amount of rainfall increases, do both the volume and height of water in the rain gauge keep track of this increase? Explain your thinking. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) • What does the precision of measuring height and volume depend on? Is there a difference in the precision of measuring height or volume? Explain your thinking. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Volume vs. Height of Water 25 Volume (mL) 20 15 10 5 0 0 0 1/0.52 11 11.5 1/2 22 22.5 1/ 2 3 3 33.5 1/2 44 Height (inches) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes • Significant figures are the numbers one can read off of an instrument or piece of equipment, plus one more estimated number. The glassware or instrument being used in a measurement determines how many significant figures can be recorded. 55 50 (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) Significant Figures Glassware Beaker Erlenmeyer Flask Graduated Cylinder Graduated Pipette # of decimal places 0 0 reading: 10 number of ml of liquid significant figs 10 mL 2 10 mL 2 1 10.0 mL 3 2 10.00 mL 4 (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) Measuring Rainfall Data Height (inches) Volume (milliliters) 0 in 7/8 in 1 7/8 in 2 7/8 in 3 7/8 in 0 mL 5 mL 10.0 mL 15.0 mL 20.0 mL (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) • Two quantities are proportional if a graph of the two variables results in a straight line that passes through the origin (0, 0). (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) Volume vs. Height of Water 25 Volume (mL) 20 15 10 5 0 000 1/2 1/0.5 2 1 11 1 1/2 2 11.5 1 /2 2221/2 22.5 31/ 23 1/2 3 3 4 33.5 1 /2 44 Height (inches) © 2004 Key Curriculum Press. Unit 3 • Investigation I Check-In Answer the following question: • Suppose you find that 1.0 inch of rainfall in a graduated cylinder has a volume of 4.0 mL. What volume would you measure for 2.0 inches of rainfall? A) 4 mL B) 4.0 mL C) 4.00 mL D) 8 mL E) 8.0 mL F) 8.00 mL Explain your thinking. © 2004 Key Curriculum Press. Unit 3 • Investigation I Wrap-Up • Precision differences in measurements are a result of the glassware or instrument that is used. • Significant figures are defined as all of the numbers that can be read directly from an instrument, plus one estimated number. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) • The volume of water in a cylindrical container is directly proportional to the height of the water. • Graphs of two variables that are proportional always lead to a straight line through the origin. © 2004 Key Curriculum Press. Unit 3 • Investigation I Weather Unit – Investigation I Lesson 3: Having a Melt Down ChemCatalyst • Meteorologists measure the snowpack in the mountains to predict the amount of water that will fill the lakes and reservoirs. Do you think that 3 milliliters of snow is the same as 3 milliliters of rain? Explain your reasoning. © 2004 Key Curriculum Press. Unit 3 • Investigation I The Big Question • How can you convert from volume of snowfall to volume of liquid water? © 2004 Key Curriculum Press. Unit 3 • Investigation I You will be able to: • Understand the relationship between density, mass and volume. © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes • The density of a substance is the slope of the line for a graph of mass vs. volume. Density = Mass/Volume (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) • The slope of a line is the change in y divided by the change in x. • For a line that goes through the origin (0, 0), the slope is simply any value of y divided by the corresponding value of x. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes (cont.) Slope = Density Mass vs. Volume of Snow 100 Mass (g) 80 60 40 20 0 0 20 40 60 80 100 Volume (mL) © 2004 Key Curriculum Press. Unit 3 • Investigation I Activity Purpose: This activity allows you to relate volume of snowfall with volume of rainfall by using the density of snowfall and rainfall. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Materials: (for each team of four students) 25 mL graduated cylinder Scale Water bottle (small dropper or plastic pipette if water bottles are not available) (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Mass of the graduated cylinder empty: ______ Measured Mass of water plus graduated cylinder (g) Mass of water (g) Calculated Volume of Mass/volume water (mL) (g/mL) © 2004 Key Curriculum Press. Unit 3 • Investigation I Making Sense • Explain how you can relate volume of snow to volume of rain. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Mass vs. Volume of Water 25 Mass (g) 20 water ice 15 10 snow 5 0 0 5 10 15 20 25 Volum e (mL) (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) m1 / V1 = slope = m2 / V2 (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Example Problem I: Imagine you have a box that is 5.0 mL in volume. What mass of ice will just fit this box? Proportional Analysis 0.92 g = _ x __ 1 mL 5.0 mL Dimensional Analysis 5.0 mL 0.92 g = 4.6 g 1 mL x = (0.92)(5.0) = 4.6 g (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Example Problem II: You have 20 grams of snow with a density of 0.50 g/mL. What volume does this snow occupy (how many milliliters)? Proportional Analysis 0.5 g 1 mL = 20 g x mL Dimensional Analysis 20 g 1 mL = 40 mL 0.5 g x = (20) = 40 mL 1 0.5 © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Example Problem III: If you have 100 mL of snow, what volume of water do you have? (You must first find out what mass of snow you have and then convert that to volume of water.) (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Step 1: Proportional Analsysis 0.5 g = 1 mL x g 100 mL x = (0.5)(100 mL) = 50 grams Step 2: Proportional Analsysis 1g 1 mL = 50 g x mL x = (1)(50) = 50 mL © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Step 1: Dimensional Analysis 100 mL 0.5 g = 50 grams 1 mL Step 2: Dimensional Analysis 50 mL 1g = 50 mL 1 mL © 2004 Key Curriculum Press. Unit 3 • Investigation I Check-In • You have equal masses of snow and rain. Which has a greater volume? Explain your thinking. • What is the mass of 14 mL of rainwater? © 2004 Key Curriculum Press. Unit 3 • Investigation I Wrap-Up • Density is a measure of the mass of a substance per unit of volume. • If the ratio between two quantities is constant then a graph of these two quantities will be a line that passes through the origin. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) • Water can have different densities depending on whether it is snow, ice or liquid (rain). • When a substance changes phase (from solid to liquid to gas) it changes density. © 2004 Key Curriculum Press. Unit 3 • Investigation I Weather Unit – Investigation I Lesson 4: It’s Sublime ChemCatalyst • Describe the differences between the two. • Why do you think one is called “dry” ice? © 2004 Key Curriculum Press. Unit 3 • Investigation I The Big Question • How different are the densities of a solid and a gas of the same substance? © 2004 Key Curriculum Press. Unit 3 • Investigation I You will be able to: • Understand the change in density as a substance goes from a solid to a gas. © 2004 Key Curriculum Press. Unit 3 • Investigation I Activity Materials: 5-20 grams of dry ice per team of students Styrofoam cooler or ice chest Scale Medium plastic garbage bags—five-gallon size Twist tie (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) 2 Oven mitts Five gallon bucket or other cylindrical receptacle (Note: 5 gallons ~19 liters) (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Copy this table into your notebook. Mass of CO2(s) (g) Volume of CO2 solid (mL) Volume of CO2 gas (mL) Note: This table is different than the one in your book. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I Safety Note: Use gloves – dry ice can cause frostbite. © 2004 Key Curriculum Press. Unit 3 • Investigation I Making Sense • If you sublime 1 mL of CO2 (s), what volume will the gas occupy? • How many times larger than the volume of the solid carbon dioxide is the volume of the carbon dioxide gas? (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Mass vs. Volume of Gaseous Carbon Dioxide 100 CO2 (s) 1.56 g/mL Mass (g) 80 60 40 CO2 (g) 0.0019 g/mL 20 0 0 20 40 60 Volume (mL) 80 100 (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Solid CO2 Gas Model A Gas Model B Gas Model C Which model is correct? (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) How do we find the volume of the solid? • D = m/V or V = m/D • We know m = g (from our data table) • D = 1.56 g/mL (from graph) • So do the math . . . © 2004 Key Curriculum Press. Unit 3 • Investigation I Sample Data Mass of CO2(s) (g) Volume of CO2 solid (mL) Volume of CO2 gas (mL) 5.0 g 2500 mL 8.2 g 4200 mL 12.7 g 6500 mL © 2004 Key Curriculum Press. Unit 3 • Investigation I Wrap-Up • Sublimation occurs when a substance goes directly from a solid phase to a gas phase (or vice versa). • The density of a gas is about 1/1000 the density of the same solid. © 2004 Key Curriculum Press. Unit 3 • Investigation I Weather Unit – Investigation I Lesson 5: Water World ChemCatalyst Suppose a quantity of rainwater occupies a volume of 1 mL. • What volume do you think the rainwater occupies as water vapor? Explain your thinking. • When water changes phase what other changes take place? Name at least three changes. © 2004 Key Curriculum Press. Unit 3 • Investigation I The Big Question • How are volume, density, and phase of water related to weather? © 2004 Key Curriculum Press. Unit 3 • Investigation I You will be able to: • Explain the increase in volume as 1 mL of water goes from a liquid to a gas. © 2004 Key Curriculum Press. Unit 3 • Investigation I Activity Purpose: The purpose of this lesson is to explore how phase changes are related to volume changes, density changes, and the water cycle in general. Part I: Comparing densities Densities of various substances have been labeled in the Density Landscape handout. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) snow H2O (s), 0.92 g/mL water vapor subliming from snow, H2O (g), 0.0006 g/mL helium blimp 0.00016 g/mL cloud air at 3000 m above sea level 0.00091 g/mL molten lava 2.2 g/mL rain H2O (l), 1.00 g/mL solid lava 2.4 g/mL mine shaft leading to gold, Au (s), 19.32 g/mL ice H2O (s), 0.92 g/mL lake H2O (l), 1.00 g/mL oil 0.92 g/mL pine log 0.5 g/mL air at sea level 0.0012 g/mL happy bear iron anchor Fe (s), 7.87 g/mL fire extinguisher carbon dioxide aluminum cooler dry ice to containing liquid carbon subliming from dry ice, Al (s), preserve fish dioxide 2.70 g/mL CO2 (s), 1.56 CO2 (g), 0.0019 g/mL CO2 (g), 1.2 g/mL g/mL (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) Part II: Average rainfall A map of average rainfall in the United States (in inches/yr) is shown below. © 2004 Key Curriculum Press. Unit 3 • Investigation I Making Sense • How are volume, density, and phase of water related to the weather? © 2004 Key Curriculum Press. Unit 3 • Investigation I Notes Phase Change • Drives the water cycle and weather • Results in changes in volume and density © 2004 Key Curriculum Press. Unit 3 • Investigation I Check-In As water moves around the water cycle, its volume changes. • If rainwater occupies a volume of 1 mL, what volume will it occupy when it forms water vapor? • What is the main reason for the increase in volume during this phase change? © 2004 Key Curriculum Press. Unit 3 • Investigation I Wrap-Up • The density of a substance in the solid phase is nearly the same as its density in the liquid phase. • The density of a substance in the gaseous phase will be much lower than its densities in the liquid and solid phases. Gases are about 1000 times less dense than liquids and solids. (cont.) © 2004 Key Curriculum Press. Unit 3 • Investigation I (cont.) • The density of a substance has a great deal to do with where that substance can be found on the planet in relationship to other substances. © 2004 Key Curriculum Press. Unit 3 • Investigation I