65.9. Use the Kelvin-Planck statement of the second law to show that the specifi
ID: 1843755 • Letter: 6
Question
65.9. Use the Kelvin-Planck statement of the second law to show that the specified process is irreversible. (a) As shown in Fig. P5.9a, a hot thermal reservoir is separated from a cold thermal reservoir by a cylindrical rod insulated on its lateral surface. Energy transfer by conduction between the two reservoirs takes place through the rod which remains at steady state. Hot reservoir Rod Insulation Cold reservoir Fig. P5.9a (b) As shown in Fig. P5.9b, a rigid insulated tank is divided into halves by a partition. On one side of the partition is a Insulation Initially filled Initially with a gas evacuated Valve Volume V Volume V Fig. P5.9bExplanation / Answer
As the rod is insulated, there is no heat loss from rod to the surroundings.
the rod absorbs heat from the hot reservoir and rejects to cold reservoir which violates the Kelvin Plank's statement of second law,
for the system to be reversible heat should be transferred from cold reservoir to the hot reservoir without any effect on the system and surroundings. but this is only possible with an expense of work from an external source.
the work has an effect on the system which makes the process irreversible.
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