Question

Statement (I) : Calusius inequality is valid for all cycles, reversible or irreversible including refrigeration cycles. 

Statement (II) : Clausius statement is a negative statement which has no proof.

(a) Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I) 

(b) Both statement (I) and Statement (II) are individually true but Statement (II) is NOT the correct explanation of Statement (I) 

(c) Statement (I) is true but Statement (II) is false 

(d) Statement (I) is false but Statement (II) is true

Answer 1

(c) Statement (I) is true but Statement (II) is false 

Clausius inequality states that

It provides the criterion of the reversibility of a cycle.

If \(\oint\)\(\frac{dQ}T\) = 0, the cycle is reversible

\(\oint\)\(\frac{dQ}T\)< 0, the cycle is irreversible and possible

 \(\oint\)\(\frac{dQ}T\)> 0, the cycle is impossible

Clausius theorem is \(\oint_R\)\(\frac{dQ}T\) = 0 and it can be proved