University Physics III · Temperature and Kinetic Theory · 6.02
Thermal expansion and thermal stress
Linear, area, and volume coefficients as fractional change per kelvin, cavities expanding with the solid around them, and the stress in a fully constrained member, which carries no dependence on its length; the linear law is a truncated expansion, beta equals three alpha only for isotropic solids, and water below 3.98 degrees Celsius reverses the sign.
Course-map guide · not a complete lesson or simulationScope & orientation
What this subsection covers
Linear, area, and volume coefficients as fractional change per kelvin, cavities expanding with the solid around them, and the stress in a fully constrained member, which carries no dependence on its length; the linear law is a truncated expansion, beta equals three alpha only for isotropic solids,…A strong response uses molecular collision and momentum diagrams and states where the model stops being reliable.
Reasoning checklist
Evidence, assumptions and limits
Assumptions to state
State the system, observable, approximation, and conditions held fixed before using a model.
Evidence to collect
Does a simulated gas of elastic spheres relax to the speed distribution its temperature predicts?
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Does a simulated gas of elastic spheres relax to the speed distribution its temperature predicts? Useful evidence includes speed histograms against time, fitted most-probable and rms speeds, particle-number and step-size convergence, energy conservation, and a hard-sphere limitation.
Limits to state
This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus.
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This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. Third-semester content is the least standardised of the introductory sequence: departments place oscillations, waves, optics, and thermal physics differently, and the modern-physics units here are a bounded survey rather than a complete course in relativity, quantum mechanics, atomic, nuclear, or particle physics. Follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.
Diagram & examples
Work the claim before choosing an equation
Interactive concept map
Follow the model from claim to evidence.
Model, evidence, and boundary
Which response about Thermal expansion and thermal stress is most defensible?
modelModel, evidence, and boundary turns the stated idea into a representation that can make a prediction.
Example questions
Try the reasoning before revealing the structure.
Which response about Thermal expansion and thermal stress is most defensible?
Quick check
Test the reasoning, not recall
Which response about Thermal expansion and thermal stress is most defensible?
Choose an answer to test the model.