Build thermodynamics one idea at a time.
Start with the foundations, then explore advanced ideas and calculus at the depth your course needs.
6 of 6 lessons
The First Law & Gas Processes
Use p–V area and compare isothermal, isobaric, isochoric, and adiabatic change.
Heat Engines & the Second Law
Analyse cycles and compare real efficiency with the Carnot ceiling.
Entropy
Track entropy change and understand why total entropy does not fall.
Conduction, Convection & Radiation
Compare the three transfer mechanisms and black-body radiation.
Energy Sources
Compare energy density, capacity factors, and source trade-offs honestly.
Thermodynamic Calculus
Integrate work along gas paths and evaluate entropy changes.
Change one variable. Watch the physics respond.
Explore ηmax = 1 − Tc/Th, then take the idea into the full lessons.
Test the Carnot ceiling
No engine operating between these temperatures can exceed this ideal ceiling.
Everything around the chapter, in one place.
Keep building with practice, classroom presentations, formulae, and a game that puts these ideas to work.
Exam practice
Questions, guided reasoning, and exam-style problem solving.
Browse exam questions →Formula toolkit
Keep the key relationships and their units close to hand.
Review formulae →Members · Classroom presentationClassroom slides
Reveal lesson ideas, examples, and checks in full-screen classroom mode.
Open slides →Lesson files
Find downloadable teaching resources and worksheets in the library.
View files →Engine Room
ηmax = 1 − Tc/Th. Shape a p–V cycle, sell the enclosed area as work, and respect the Carnot limit.
Play the free chapter game →See it. Read it. Work it.
Connect diagrams to physical relationships and exam reasoning.
Explore diagrams →Guided support
Ask for a hint, check your reasoning, or explore a similar problem.
Ask GioAI →Key ideas to remember
Move without losing your place.
Extra challenging questions
Take the ideas further with course-specific extension questions, supplied-data graphs and worked solutions.