Apower cycle operates between a lake’s surface water at a temperature of 25 °c and water at a depth whose temperature is 6 °c. at steady state the cycle develops a power output of 14 kw, while rejecting energy by heat transfer to the lower temperature water at the rate 14,400 kj/min. determine the thermal efficiency of the power cycle, the maximum thermal efficiency for any such power cycle, and whether the power cycle is possible.

Acyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34×10−27kg. the deuterons exit the cyclotron with a kinetic energy of 6.40 mev .a-what is the speed of the deuterons when they exit? b-if the magnetic field inside the cyclotron is 1.25 t, what is the diameter of the deuterons' largest orbit, just before they exit? c-if the beam current is 350 μa how many deuterons strike the target each second?