Apower cycle operating at steady state receives energy by heat transfer at a rate q_h at t_h = 1800 k and rejects energy by heat transfer to a cold reservoir at a rate q_c at t_c = 600 k. for each of the following cases, determine whether the cycle operates reversibly, operates irreversibly, or is impossible.
a. q._h = 500 kw, q._c = 100 kw
b. q._h = 500 kw, w._cycle = 250 kw, q._c = 200 kw
c. w_cycle = 350 kw, q._c = 150 kw
d. q._h = 500 kw, q._c = 200 kw

Two microscope slides are placed horizontally, one on top of the other, with a drop of a dishwashing liquid between them. the gap between the slides is 1 mm. a machine pulls the top slide to the right with a velocity of 0.15 millimeters per second while the bottom slide is held stationary. a stress gage indicates that a shearing stress of 0.5 pa is required to pull the top slide with this velocity. if the dishwashing liquid adheres to both slides during this process, what is the viscosity of the liquid? specify whether your answer is dynamic or kinematic viscosity, and use appropriate units.