Can the Second Law of Thermodynamics be Violated?

[neelakash]

Homework Statement

Show that if the Kelvin Planck statement of the 2nd law were not true,a violation of the Clausius statement would be possible.

Homework Equations

The Attempt at a Solution

Please check if I am correct.

Kelvin Planck statement says that it is impossible for any system to operate in thermodynamic cycle and deliver a net amount of work to its surroudnings while receiving energy by heat transfer from a single thermal reservoir.
Qcool>0 and efficiency <1
Kelvin Planck statement is not true because you can't the net amount of work to its surroundings while receiving energy by heat transfer from a single thermal reservoir.

we know the second law of thermodyanics cycle is that you have hot reservior and cool reservoir. and you can have work output from the hot reservoir by extract heat from and reject heat to cool reservoir

 

[siddharth]

Prove it by contradiction. ie, construct a hypothetical thermodynamic device in which it's possible to deliver work while receiving heat from a single reservoir. What can you do with this work which violates the Clausius statement?