Question

write a note on clausius inequality (200 words).​

Answer 1

Clausius inequality

Explanation:

• Clausius inequality is an approach in thermodynamics which helps us to determine whether the process is reversible or not.
• For any real engine cycle , Clausius inequality signifies a negative change in entropy on the cycle.
• This statement implies that entropy given to the environment during the Carnot cycle is greater than the entropy which is transferred to the engine due to the heat produced in the hot reservoir.
• If $Q_H$ is the heat in a simplified heat engine and $T_H$ is the temperature, then the entropy given by Δ$S$$=$ $Q_H/T_H$ adds up to the system . This added entropy should be subsequently eliminated into the environment in order to complete the cycle.
• During this process , temperature of the engine shall be lesser than $T_H$ for that duration of time while the heat energy is being added to the system. This would mean that any variation in temperature would imply an irreversible process.
• More than required entropy is generated in any irreversible process. So, for cooling down and to balance , more heat must be removed and sent to the cold reservoir . Therefore, lesser energy to do work is required .
• The sign of equality in the diagram only refers to an ideal or Carnot Cycle.