First & Second Laws; Carnot

ΔU = Q - W; η = 1 - T_C/T_H.

Concept

First & Second Laws; Carnot is a foundational idea in this chapter. The defining relationship is:

$\eta_{\rm Carnot} = 1 - T_C/T_H$

Second law: heat flows spontaneously hot → cold.

Worked Application

Apply the formula to a typical problem from your textbook. Identify the knowns, plug into the equation, and check that the units work out. Always sanity-check the magnitude before accepting an answer.

Common Confusions

• Confusing the variables in the formula — re-read the symbol definitions in the chapter.
• Forgetting unit conversions (cm vs m, g vs kg).
• Ignoring sign conventions where direction matters.

Key Takeaways

• Master the formula $\eta_{\rm Carnot} = 1 - T_C/T_H$ and one canonical example.
• See the chapter index for full derivations, traps and exam-grade problems.