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Heat

Science Standards
Physical Science
Unifying Concepts and Processes

Heat transfer occurs through one of three processes or a combination of the three. Conduction is the flow of heat through a body from an area of higher temperature to an area of lower temperature. Molecules in the hot region increase their vibrational energy as they are heated. As they collide with molecules with lower vibrational energy (cooler ones), some of the vibrational energy is passed to the cooler ones. Their energy is increased and heat is passed on.

Heat transfer by convection is the movement of heat by motion of a fluid. This motion can he the result of some force, such as a pump circulating heated water, and is referred to as forced convection. If the motion is the result of differences in density (thermal or compositional), the convection is referred to as buoyancy-driven, density-driven, or natural convection.

Radiation is the emission of energy from the surface of a body. Energy is emitted in the form of electromagnetic waves or photons (packets of light). The character (wavelength, energy of photons, etc.) of the radiation depends on the temperature, surface area, and characteristics of the body emitting the energy. Electromagnetic waves travel with the speed of light through empty space and are absorbed (and/or reflected) by objects they fall on, thus transferring heat. An excellent example of radiative heating is the sun's heat that we experience on Earth.

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Density

Mathematics Standards
Mathematical Connections

Science Standards
Earth and Space Science
Physical Science
Unifying Concepts and Processes

The mass of a body divided by its volume is its average density.

Density Table


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Immiscible

Science Standards
Physical Science
Unifying Concepts and Processes

When two or more liquids are immiscible they do not mix chemically.

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Surface Tension

Mathematics Standards
Algebra
  Functions
  Geometry
  Geometry from a Synthetic Perspective
Mathematical Connections
Mathematics as Communication
Mathematics as Problem Solving
  Measurement
  Trigonometry

Science Standards
Physical Science
Science and Technology
Science in Personal and Social Perspectives
Unifying Concepts and Processes
Capillarity Demo

Capillarity can be defined as the attraction a fluid has for itself versus the attraction it has for a solid surface (usually the fluid's container). The surface tension sigma in a liquid-liquid or liquid-gas system is the fluids' tendency to resist an increase in surface area. Surface tension is temperature dependent. Surface tension, capillarity, adhesion, and cohesion work together to drive the contact angle theta between a solid-liquid interface and liquid-liquid interface when a small diameter tube is dipped into a liquid. When the contact angle theta=0, the liquid "wets" the tube completely. When theta < 90° (an acute angle), the liquid rises in the tube; when theta>90° (an obtuse angle), the liquid is depressed in the tube and does not wet the walls. The distance between the liquid surface in the container and in the tube is height equationwhere r is the radius of the tube (D/2), rho is the density of the liquid, and g is the acceleration due to gravity.

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Concave and Convex

Mathematics Standards
  Functions
  Geometry
  Geometry from a Synthetic Perspective

Science Standards
Science and Technology
Science in Personal and Social Perspectives
Unifying Concepts and Processes

Something that is concave is curved inward like the inner surface of a sphere. Something that is convex is curved like the outer surface of a sphere. A variety of concave and convex lenses and mirrors are used in the design of eyeglasses, magnifying glasses, cameras, microscopes, and telescopes. In the example in the text, water cupping upward produces a concave surface; mercury cupping downward produces a convex surface.

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