Answer: sqrt(T).
- A T
- B sqrt(T)
- C T<sup>2</sup>
- D 1/T
Correct answer: B. sqrt(T)
Explanation: v<sub>rms</sub> = sqrt(3RT/M) or sqrt(3kT/m). RMS speed is proportional to sqrt(T) (absolute temperature).
The Carnot cycle alternates two isothermal steps (heat absorbed at TH, released at TC) with two adiabatic steps (no heat exchange); the enclosed loop area equals the net work output, and η = 1−TC/TH is the maximum possible efficiency between those two temperatures.
Concept context
Laws of thermodynamics, heat engines, entropy, and gas processes.