Physic Labs

Problem 2

A reversible Carnot engine operates between large reservoirs at constant absolute temperatures Th>Tc>0T_h>T_c>0. Each cycle absorbs heat Qh>0Q_h>0 from the hot reservoir and rejects heat of magnitude Qc>0Q_c>0 to the cold reservoir; there are no other energy transfers. (a) Relate the heats to reservoir temperatures. (b) Find useful work per cycle. (c) Find efficiency and consider the limit TcoThT_c o T_h. Keep the sign convention consistent and use appropriate SI units throughout. Each part builds on intermediate results from the preceding part; apply a physical relation only where the stated model assumptions hold. Finally compare the answers with the initial conditions, expected trends, and an independent check when available.
problems.proof.stepOf
problems.proof.prevStepproblems.proof.nextStep
Qc=QhTc/Th, W=Qh(1−Tc/Th), η=1−Tc/Th\boxed{Q_c=Q_hT_c/T_h,\ W=Q_h(1-T_c/T_h),\ \eta=1-T_c/T_h}
problems.proof.analysis

Collect answers to every part, including signs, directions, and image or process properties where relevant. Dimensions match the physical quantities.