Along cylinder (not a cylindrical shell) of radius ro undergoes radial-one dimensional, steady-state conduction. there is a uniform rate of thermal energy generation per unit volume ˙q and a constant thermal conductivity k. if the temperature of the outer surface is ts, find the temperature distribution across the cylinder and the rate of heat transfer per unit length from the cylinder. (key point - what is the second boundary condition? )

Refrigerant-134a enters the compressor of a refrigerator as superheated vapor at 0.14 mpa and -10°c at a rate of 0.05 ka/s and leaves at 0.8 mpa and 50°c. the refrigerant is cooied in the condenser to 0.72 mpa and 26'c. it is then throttled to 0.15 mpa. sketch the t-s diagram for the system and evaluate: 6) the rate of heat removai from the refrigerated space (kw), it) the power input to the compressor (kw), ii) the isentropic efficiency of the compressor (%), and iv) the cop of the refrigerator.