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Density. What is the same about these objects?. What is the same about these objects?. Answer : These bottles all have the same volume. Volume=. Amount of Space and object takes up. What is different about these objects?. Answer :
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Density What is the same about these objects?
What is the same about these objects? Answer: These bottles all have the same volume. Volume= Amount of Space and object takes up
Answer: They contain different samples of matter (cotton balls, water, iron filings, and air.) Mass= Amount of Matter in an object
What is Density? Density is the amount of matter in a given space Which of the bottles is the MOST DENSE?
Example Bobby Bobby takes a trip to Florida. Compare his suitcase before his flight and after his flight.
Bobby’s Suitcase • Imagine these boxes represent Bobby’s suitcase. • Which would represent Bobby’s suitcase before his flight? • Which would represent his suitcase after his flight? Which is More Dense?
Which one is more dense? • Demonstration: People in a square • How about this: Which square is more dense? A B
Formula for Density We use the formula: Density = mass/Volume OR mass Density = Volume
Liquid Layers • Which layer has the highest density? • Which layer has the lowest density? • Imagine that the liquids have the following densities: • 10g/cm3. 3g/cm3. • 6g/cm3. 5g/cm3. • Which number would go with which layer?
4. The DENSITY formula can be remembered using this trick: Inside the T-Triangle add the three letters from the Density formula. D = m/V Think: but put a D in place of the T. m D V
6. Let’s solve a problem using the DENSITY T-Triangle! Example #1. What is the density of an object with a mass of 50 g and a volume of 100 cm3? m What is the formula for Density? D V
6. Here’s how you solve the problem. Example #1. What is the density of an object with a mass of 50 g and a volume of 100 cm3? Formula Substitute Solve (1) D = m/V (2) D = 50 g / 100 cm3 (3) D = 0.5 g/cm3
7. Let’s solve another problem using the DENSITY T-Triangle! Example #2. What is the mass of an object with a density of 1.2 g/mL and a volume of 0.3 mL? m What is the formula for mass? D V
7. Here’s how you solve the problem. Example #2. What is the mass of an object with a density of 1.2 g/mL and a volume of 0.3 mL? Formula Substitute Solve (1) m = DV (2) m = 1.2 g/mL X 0.3 mL(3) m = 0.36 g • Notice: The like terms (mL) were cancelled • so only “g” was left for the answer!
8. Let’s solve another problem using the DENSITY T-Triangle! Example #3. What is the volume of an object with a density of 3 g/cm3 and a mass of 30 g? m What is the formula for volume? D V
8. Here’s how you solve the problem. Example #3. What is the volume of an object with a density of 3 g/cm3 and a mass of 30 g? Formula Substitute Solve (1) V = m/D (2) V = 30 g X 3 g/cm3 (3) V = 10 cm3 • Notice: The like terms (g) were cancelled • so only “cm3” was left for the answer!
10. Solve these problems. Example #4: What is the mass of an object with a density of 5 g/cm3 and a volume of 15 mL? Example #5: What is the density of an object with a mass of 300 g and a volume of 30 mL? Example #6: What is the volume of an object with a mass of 25 g and a density of 5 g/mL?