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Science Standards
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Physical Science |
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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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Mathematics Standards
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Mathematical Connections |
Science Standards
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Earth and Space Science |
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Physical Science |
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Unifying Concepts and Processes |
The mass of a body divided by its volume is its average density.
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Science Standards
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Physical Science |
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Unifying Concepts and Processes |
When two or more liquids are immiscible they do not mix chemically.
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Mathematics Standards
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Algebra |
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Functions |
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Geometry |
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Geometry from a Synthetic Perspective |
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Mathematical Connections |
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Mathematics as Communication |
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Mathematics as Problem Solving |
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Measurement |
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Trigonometry |
Science Standards
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Physical Science |
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Science and Technology |
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Science in Personal and Social Perspectives |
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Unifying Concepts and Processes |
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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
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 between a solid-liquid interface
and liquid-liquid interface when a small diameter tube is dipped into a
liquid. When the contact angle =0, the
liquid "wets" the tube completely. When
< 90° (an acute angle), the liquid rises in the tube; when >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 where
r is the radius of the tube (D/2),
is the density of the liquid, and g is the acceleration due to gravity.
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Mathematics Standards
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Functions |
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Geometry |
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Geometry from a Synthetic Perspective |
Science Standards
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Science and Technology |
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Science in Personal and Social Perspectives |
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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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