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Lecture: Density (Mikey’s Lecture)

This lecture on density covers the fundamental concepts and formulas used to understand mass per unit volume. It explains the nature of density as a characteristic property, using practical examples like paper and water. The formula for density (D = M/V) is detailed alongside methods for solving word problems. Additionally, it addresses the significance of consistent density across the same substance and describes the measurement units for solids and liquids. Learn to calculate density, grasp its importance, and solve related problems with clarity.

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Lecture: Density (Mikey’s Lecture)

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  1. Lecture: Density(Mikey’s Lecture)

  2. 1,2,3 A,B,C Don’t You Know it’s: DENSITY!!! How do you isolate the circled value?: 1+2=3 : 1+2-2=3-2 1=3-2  1 =1 1+2=3 : 1-1+2=3-1 : 2=3-1 : 2 = 2

  3. A+B=C : A+B-B=C-B : A=C-B A+B=C : A-A+B=C-A : B=C-A

  4. A=C : B : A x B=C x B B11 : A=C x B A=C x B : : 1 x A=C x B x 1 C C : A = B C

  5. D=M : V : D x V=M x V 1 V 1 : D x V=M Key point: what you do to one side of the equal sign, you must do to the other side too (that’s what equal means!!)

  6. Density is mass per unit volume: per = divide therefore it is a fraction ie: price per pound: $/lb : miles per gallon: mi/gal So: density is a measure of two variables of the same substance: how much matter there is for the volume of the same stuff

  7. Example: Tear a piece of paper in half. Each piece has half the volume and half the mass, but it is still paper with the same density no matter the size: it’s called a characteristic property, like finger prints or DNA sequences

  8. 2. Formula for density Density = mass divided by volume D = M V density is a broken heart or density is mountains over valleys: M V or: M D x V

  9. 3. Density of pure water (H20) = 1.000g/ml 4. Density is a characteristic property: solids, gasses? 5. unit for density = g/cm3 (key: two units! for same stuff) mass: amount of matter present, its heft: gram is the unit (must be dry, why?) volume is space occupied by matter: solid: cm3is the unit, measured LxWxH; or with water displacement for irregular objects liquid: use a graduated cylinder: mL is the unit remember: 1cm3 = 1mL

  10. Greater than 1g/mL H2O (1g/mL) Mass (g) Less than 1g/mL Volume (mL) • Why are the axis labeled this way (hint: formula for slope)? • Where is the line for the Titanic before-after it hits the iceberg? • For the same substance, the density will be the same, no matter how much you have: straight line. • Also, the density will be different for different substances because it is a characteristic property: soda cans, density columns • What is the approximate density: of all gases? :almost all solids? :submarines/hot air balloons?

  11. Required format for solving word problems: 4 steps: • K: Know: state what you know: what is the given info • K? unknown: state what you are trying to solve for: the unknown • F: state the formula (s) which are needed for the solution, two types: -base formula -working formula • Show work: apply working formula, show work, cancel units, k-b-c-m, circle answer

  12. Examples of word problems: What is the density of a substance with a mass of 15.2g and a volume of 2.7 ml? What is the volume of an unknown rock which has a density of 3.44 g/cm3 and a mass of 0.0039 kg?

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